Group Theory

Authors and titles for math.GR in Mar 2024

[1]  arXiv:2403.00583 [pdf, ps, other]

Title: Determining hypercentral Hall subgroups in finite groups

Authors: Víctor Sotomayor

Subjects: Group Theory (math.GR)

[2]  arXiv:2403.01082 [pdf, ps, other]

Title: Common neighborhood Laplacian and signless Laplacian spectra and energies of commuting graphs

Authors: Firdous Ee Jannat, Rajat Kanti Nath

Comments: 36 pages

Subjects: Group Theory (math.GR)

[3]  arXiv:2403.01262 [pdf, ps, other]

Title: Solvability of a group based on its number of subgroups

Authors: Angsuman Das, Arnab Mandal

Comments: 20 pages, 1 figure, 1 table

Subjects: Group Theory (math.GR)

[4]  arXiv:2403.01464 [pdf, other]

Title: Digraphs, pro-$p$ groups and Massey products in Galois cohomology

Authors: Claudio Quadrelli

Comments: In this version we use the notion of "digraph" instead of the notion of "oriented graph" previously (and uncorrectly) used, and adapt the content suitably

Subjects: Group Theory (math.GR); Combinatorics (math.CO); Number Theory (math.NT)

[5]  arXiv:2403.01725 [pdf, ps, other]

Title: The finite groups with three automorphism orbits

Authors: Cai Heng Li, Yan Zhou Zhu

Comments: 22 pages

Subjects: Group Theory (math.GR)

[6]  arXiv:2403.02197 [pdf, other]

Title: Solvable and non-solvable finite groups of the same order type

Authors: Paweł Piwek

Comments: 9 pages; added a section on how these examples were found

Subjects: Group Theory (math.GR)

[7]  arXiv:2403.02209 [pdf, ps, other]

Title: Parabolic subgroups of complex braid groups: the remaining case

Authors: Owen Garnier

Comments: 35 pages. arXiv admin note: text overlap with arXiv:2208.11938 by other authors

Subjects: Group Theory (math.GR); Geometric Topology (math.GT); Representation Theory (math.RT)

[8]  arXiv:2403.02485 [pdf, ps, other]

Title: Balls in groups: volume, structure and growth

Authors: Romain Tessera, Matthew Tointon

Comments: 94 pages, 1 figure. V2: Added Remark 1.20

Subjects: Group Theory (math.GR); Combinatorics (math.CO); Probability (math.PR)

[9]  arXiv:2403.02562 [pdf, ps, other]

Title: Grid diagrams for higher-dimensional Thompson's groups

Authors: José Burillo, Sean Cleary, Brita Nucinkis

Comments: 18 pages, 6 figures

Subjects: Group Theory (math.GR)

[10]  arXiv:2403.02703 [pdf, ps, other]

Title: Common neighborhood (signless) Laplacian spectrum and energy of CCC-graph

Authors: Firdous Ee Jannat, Rajat Kanti Nath

Comments: 31 pages

Subjects: Group Theory (math.GR)

[11]  arXiv:2403.02813 [pdf, ps, other]

Title: On the Mathieu Conjecture for $Sp(N)$ and $G_2$

Authors: Kevin Zwart

Comments: 30 pages, no figures

Subjects: Group Theory (math.GR)

[12]  arXiv:2403.03660 [pdf, ps, other]

Title: $C$-Width of Graph of Groups

Authors: Shrinit Singh

Comments: Comments are welcome

Subjects: Group Theory (math.GR)

[13]  arXiv:2403.03928 [pdf, other]

Title: Pattern preserving quasi-isometries in lamplighter groups and other related groups

Authors: Tullia Dymarz, Beibei Liu, Nataša Macura, Rose Morris-Wright

Comments: 20 pages, 6 figures

Subjects: Group Theory (math.GR)

[14]  arXiv:2403.03939 [pdf, other]

Title: Subgroups arising from connected components in the Morse boundary

Authors: Annette Karrer, Babak Miraftab, Stefanie Zbinden

Comments: 18 pages, 5 figures, comments welcome!

Subjects: Group Theory (math.GR)

[15]  arXiv:2403.04088 [pdf, ps, other]

Title: On endotrivial complexes and the generalized Dade group

Authors: Sam K. Miller

Comments: 25 pages, comments welcome!

Subjects: Group Theory (math.GR); Representation Theory (math.RT)

[16]  arXiv:2403.04157 [pdf, ps, other]

Title: On the diameter of intersection graphs of finite groups

Authors: Melissa Lee, Kamilla Rekvényi

Comments: 7 pages, comments welcome

Subjects: Group Theory (math.GR)

[17]  arXiv:2403.04375 [pdf, ps, other]

Title: Ranked definably linear quasi-Frobenius groups

Authors: Samuel Zamour

Subjects: Group Theory (math.GR); Logic (math.LO)

[18]  arXiv:2403.05483 [pdf, ps, other]

Title: Subgroup Separability of Artin Groups II

Authors: Kisnney Almeida, Igor Lima

Subjects: Group Theory (math.GR)

[19]  arXiv:2403.05774 [pdf, ps, other]

Title: On CLT and non-CLT groups

Authors: Marius Tărnăuceanu

Comments: Accepted for publication in Ann. Mat. Pura Appl

Subjects: Group Theory (math.GR)

[20]  arXiv:2403.05836 [pdf, ps, other]

Title: On topologization of the bicyclic monoid

Authors: Adriana Chornenka, Oleg Gutik

Comments: 7 pages

Subjects: Group Theory (math.GR); General Topology (math.GN)

[21]  arXiv:2403.05926 [pdf, ps, other]

Title: Groups with supersolvable automorphism group

Authors: Benjamin Sambale

Comments: 8 pages, 2nd version: Corrected a wrong lemma, thanks to an anonymous referee

Subjects: Group Theory (math.GR)

[22]  arXiv:2403.07348 [pdf, other]

Title: Linear and smooth oriented equivalence of orthogonal representations of finite groups

Authors: Luis Eduardo García-Hernández, Ben Williams

Comments: 11 pages, 2 figures

Subjects: Group Theory (math.GR)

[23]  arXiv:2403.07368 [pdf, ps, other]

Title: Groups with infinite linearly ordered products

Authors: Vincent Bagayoko

Comments: 30 pages

Subjects: Group Theory (math.GR); Logic (math.LO)

[24]  arXiv:2403.07374 [pdf, ps, other]

Title: Free submonoids of hyperbolic monoids

Authors: Matthias Hamann

Comments: 28 pages

Subjects: Group Theory (math.GR); Combinatorics (math.CO)

[25]  arXiv:2403.07489 [pdf, ps, other]

Title: Spherical $p$-group complexes arising from finite groups of Lie type

Authors: Kevin Iván Piterman

Comments: 34 pages, comments are welcome

Subjects: Group Theory (math.GR); Algebraic Topology (math.AT)

[26]  arXiv:2403.07913 [pdf, ps, other]

Title: Varieties of monoids with a distributive subvariety lattice

Authors: Sergey V. Gusev

Comments: 14 pages. arXiv admin note: substantial text overlap with arXiv:2308.11544; text overlap with arXiv:2204.11055

Subjects: Group Theory (math.GR)

[27]  arXiv:2403.08096 [pdf, ps, other]

Title: Generalizations of the Bassian and co-Bassian Properties for Abelian Groups

Authors: Andrey R. Chekhlov, Peter V. Danchev, Patrick W. Keef

Comments: 11 pages

Subjects: Group Theory (math.GR); Rings and Algebras (math.RA)

[28]  arXiv:2403.08129 [pdf, ps, other]

Title: Solvabilizer Numbers of Finite Groups

Authors: Banafsheh Akbari, Tuval Foguel, Jack Schmidt

Subjects: Group Theory (math.GR)

[29]  arXiv:2403.08393 [pdf, ps, other]

Title: A classification of $\mathbb{F}_{p^k}$-braces using bilinear forms

Authors: Riccardo Aragona, Giuseppe Nozzi

Subjects: Group Theory (math.GR); Number Theory (math.NT); Rings and Algebras (math.RA)

[30]  arXiv:2403.08522 [pdf, ps, other]

Title: Random Groups are not $n$-Cubulated

Authors: Zachary Munro

Subjects: Group Theory (math.GR)

[31]  arXiv:2403.08623 [pdf, ps, other]

Title: The algebraic structure of hyperbolic graph braid groups

Authors: B. Appiah, P. Dani, W. Ge, C. Hudson, S. Jain, M. Lemoine, J. Murphy, J. Murray, A. Pandikkadan, K. Schreve, H. Vo (Louisiana State University)

Comments: Based on work from a Louisiana State University VIR (Vertically Integrated Research) course. In v2, we reworded the introduction to better reflect what was previously known in the pulsar case and corrected some typos

Subjects: Group Theory (math.GR); Geometric Topology (math.GT)

[32]  arXiv:2403.08645 [pdf, other]

Title: Fractional distortion in hyperbolic groups

Authors: Pallavi Dani, Timothy Riley

Comments: 73 pages, 42 figures

Subjects: Group Theory (math.GR)

[33]  arXiv:2403.09047 [pdf, ps, other]

Title: Thompson's Conjecture for Large Unitary Groups

Authors: Michael Larsen, Pham Huu Tiep

Comments: 27 pages

Subjects: Group Theory (math.GR)

[34]  arXiv:2403.09276 [pdf, other]

Title: Rational Gluing in Edge Replacement Systems

Authors: Davide Perego, Matteo Tarocchi

Comments: 13 pages

Subjects: Group Theory (math.GR); Metric Geometry (math.MG)

[35]  arXiv:2403.09423 [pdf, ps, other]

Title: A survey on conjugacy class graphs of groups

Authors: P. J. Cameron, F. E. Jannat, R. K. Nath, R. Sharafdini

Comments: Two problems in previous version solved

Subjects: Group Theory (math.GR); Combinatorics (math.CO)

[36]  arXiv:2403.09425 [pdf, ps, other]

Title: Fixing two points in primitive solvable groups

Authors: Francesca Lisi, Luca Sabatini

Comments: 6 pages, Added reference to Yang's paper

Subjects: Group Theory (math.GR); Combinatorics (math.CO); Representation Theory (math.RT)

[37]  arXiv:2403.09515 [pdf, ps, other]

Title: Free groups are $L^2$-subgroup rigid

Authors: Andrei Jaikin-Zapirain

Comments: 17 pages

Subjects: Group Theory (math.GR)

[38]  arXiv:2403.09533 [pdf, ps, other]

Title: The affine Artin group of type $\widetilde B_n$ is virtually poly-free

Authors: Li Li, S.K. Roushon

Comments: 10 pages

Subjects: Group Theory (math.GR); Algebraic Topology (math.AT)

[39]  arXiv:2403.09582 [pdf, ps, other]

Title: High-dimensional expansion and soficity of groups

Authors: Lukas Gohla, Andreas Thom

Comments: 23 pages, no figures; v2 update

Subjects: Group Theory (math.GR)

[40]  arXiv:2403.09992 [pdf, ps, other]

Title: Contracting isometries and differentiability of the escape rate

Authors: Inhyeok Choi

Comments: This paper contains (revised) part of the previously announced preprint 'Limit laws on Outer space, Teichm\"uller space, and CAT(0) spaces': arXiv:2207.06597v1 , which is now divided into several parts. 38 pages. Comments welcome

Subjects: Group Theory (math.GR); Probability (math.PR)

[41]  arXiv:2403.10038 [pdf, ps, other]

Title: The Table of the Structure Constants for the Complex Simple Lie Algebra of Type E_6 and Chevalley Commutator Formulas in the Chevalley Group of Type E_6 over a Field

Authors: Anna I. Polovinkina, Sergey G. Kolesnikov

Comments: arXiv admin note: text overlap with arXiv:2312.03439

Subjects: Group Theory (math.GR)

[42]  arXiv:2403.10757 [pdf, other]

Title: Stallings automata

Authors: Jordi Delgado, Enric Ventura

Comments: 58 pages, 24 figures

Subjects: Group Theory (math.GR)

[43]  arXiv:2403.11148 [pdf, ps, other]

Title: The word problem and growth of groups

Authors: Ievgen Bondarenko

Comments: 14 pages

Subjects: Group Theory (math.GR); Formal Languages and Automata Theory (cs.FL)

[44]  arXiv:2403.12111 [pdf, ps, other]

Title: dp-minimal groups

Authors: Frank O Wagner (AGL)

Subjects: Group Theory (math.GR)

[45]  arXiv:2403.12528 [pdf, other]

Title: Characteristic subgroups and the R$_\infty$-property for virtual braid groups

Authors: Karel Dekimpe, Daciberg Lima Gonçalves, Oscar Ocampo

Comments: 26 pages

Subjects: Group Theory (math.GR)

[46]  arXiv:2403.12674 [pdf, ps, other]

Title: Some properties of Higman-Thompson monoids and digital circuits

Authors: J.C. Birget

Comments: 59 p

Subjects: Group Theory (math.GR); Computational Complexity (cs.CC)

[47]  arXiv:2403.13614 [pdf, ps, other]

Title: Graph products of residually finite monoids are residually finite

Authors: Jung Won Cho, Victoria Gould, Nik Ruškuc, Dandan Yang

Subjects: Group Theory (math.GR)

[48]  arXiv:2403.13715 [pdf, ps, other]

Title: Multi-EGS-groups: exponent of congruence quotients

Authors: Elena Maini

Subjects: Group Theory (math.GR)

[49]  arXiv:2403.13979 [pdf, other]

Title: Associative ideals in monoids

Authors: Volodymyr Zhuravlov

Comments: 5 pages

Subjects: Group Theory (math.GR); Logic (math.LO)

[50]  arXiv:2403.14265 [pdf, ps, other]

Title: Exotic Fusion System on a Subgroup of the Monster

Authors: Patrick Serwene

Subjects: Group Theory (math.GR)

[51]  arXiv:2403.14316 [pdf, ps, other]

Title: Right Splitting, Galois Correspondence, Galois Representations and Inverse Galois Problem

Authors: Chandrasheel Bhagwat, Shubham Jaiswal

Comments: 21 pages

Subjects: Group Theory (math.GR); Number Theory (math.NT); Representation Theory (math.RT)

[52]  arXiv:2403.14779 [pdf, ps, other]

Title: Free products of bi-orderable groups

Authors: Kyrylo Muliarchyk

Comments: 15 pages

Subjects: Group Theory (math.GR)

[53]  arXiv:2403.14875 [pdf, ps, other]

Title: Undecidability of the stabilizer and zero-in-the-corner problems for matrix groups

Authors: Emmanuel Breuillard, Georgi Kocharyan

Comments: 10 pages, comments welcome!

Subjects: Group Theory (math.GR); Logic (math.LO)

[54]  arXiv:2403.15094 [pdf, ps, other]

Title: $p$-groups with small number of character degrees and their normal subgroups

Authors: Nabajit Talukdar, Kukil Kalpa Rajkhowa

Subjects: Group Theory (math.GR)

[55]  arXiv:2403.15892 [pdf, ps, other]

Title: Coarsely separation of groups and spaces

Authors: Panagiotis Tselekidis

Comments: 21 pages, 6 figures

Subjects: Group Theory (math.GR)

[56]  arXiv:2403.15900 [pdf, ps, other]

Title: Crossed modules

Authors: Johannes Huebschmann

Comments: 17 pages

Journal-ref: Notices Amer. Math. Soc. 70 (2023), 1802-1813

Subjects: Group Theory (math.GR); Algebraic Topology (math.AT)

[57]  arXiv:2403.16096 [pdf, other]

Title: On Dehn functions for family of polycyclic groups

Authors: Krishnendu Gongopadhyay, Lokenath Kundu

Subjects: Group Theory (math.GR)

[58]  arXiv:2403.16102 [pdf, ps, other]

Title: Orders and Fibering

Authors: Boris Okun, Kevin Schreve

Comments: 14 pages, added a characterization of finitely generated RFRS groups due to Sam Fisher and Dawid Kielak, other small changes

Subjects: Group Theory (math.GR); Geometric Topology (math.GT)

[59]  arXiv:2403.16360 [pdf, other]

Title: Le Conte de la Mesure sur les Complexes Cubiques CAT(0)

Authors: Talia Fernós

Comments: 11 pages, 11 figures, in english

Subjects: Group Theory (math.GR)

[60]  arXiv:2403.16364 [pdf, ps, other]

Title: On maximal subgroups of ample groups

Authors: Rostislav Grigorchuk, Yaroslav Vorobets

Comments: 57 pages

Subjects: Group Theory (math.GR); Dynamical Systems (math.DS)

[61]  arXiv:2403.16671 [pdf, ps, other]

Title: Twisted conjugacy in dihedral Artin groups I: Torus Knot groups

Authors: Gemma Crowe

Comments: Comments welcome!

Subjects: Group Theory (math.GR); Computational Complexity (cs.CC)

[62]  arXiv:2403.16769 [pdf, ps, other]

Title: Dynamics of primitive elements under group actions

Authors: Pratyush Mishra

Subjects: Group Theory (math.GR); Dynamical Systems (math.DS)

[63]  arXiv:2403.16876 [pdf, other]

Title: The Hausdorff dimension of the generalized Brunner-Sidki-Vieira Groups

Authors: Jorge Fariña-Asategui, Mikel E. Garciarena

Comments: 16 pages

Subjects: Group Theory (math.GR)

[64]  arXiv:2403.17096 [pdf, ps, other]

Title: Fibers of the square map in some finite groups of Lie type and an application

Authors: Saikat Panja

Comments: Preliminary version; comments are welcome

Subjects: Group Theory (math.GR)

[65]  arXiv:2403.17291 [pdf, ps, other]

Title: Probabilistic Generation of Finite Almost Simple Groups

Authors: Jason Fulman, Daniele Garzoni, Robert M. Guralnick

Comments: 26 pages

Subjects: Group Theory (math.GR); Combinatorics (math.CO)

[66]  arXiv:2403.17443 [pdf, ps, other]

Title: Uniclass automorphisms of spherical buildings

Authors: Yannick Neyt, James Parkinson, Hendrik Van Maldeghem

Subjects: Group Theory (math.GR)

[67]  arXiv:2403.17576 [pdf, ps, other]

Title: Tactical decompositions in finite polar spaces and non-spreading classical group actions

Authors: John Bamberg, Michael Giudici, Jesse Lansdown, Gordon F. Royle

Subjects: Group Theory (math.GR); Combinatorics (math.CO)

[68]  arXiv:2403.17686 [pdf, other]

Title: Foldings in relatively hyperbolic groups

Authors: Richard Weidmann, Thomas Weller

Comments: 55 pages. arXiv admin note: text overlap with arXiv:2203.02357 by other authors

Subjects: Group Theory (math.GR)

[69]  arXiv:2403.17783 [pdf, ps, other]

Title: Intersecting subsets in finite permutation groups

Authors: CaiHeng Li, Venkata Raghu Tej Pantangi, Shujiao Song, Yilin Xie

Comments: 21 pages, 2 figures

Subjects: Group Theory (math.GR); Combinatorics (math.CO)

[70]  arXiv:2403.17960 [pdf, ps, other]

Title: On generalizations of Iwasawa's theorem

Authors: Jiangtao Shi, Fanjie Xu, Mengjiao Shan

Subjects: Group Theory (math.GR)

[71]  arXiv:2403.17964 [pdf, other]

Title: Quantifying separability in RAAGs via representations

Authors: Olga Kharlampovich, Alina Vdovina

Comments: arXiv admin note: substantial text overlap with arXiv:2303.03644

Subjects: Group Theory (math.GR); Geometric Topology (math.GT)

[72]  arXiv:2403.18434 [pdf, ps, other]

Title: On perspective Abelian groups

Authors: Grigore Calugareanu, Andrey Chekhlov

Subjects: Group Theory (math.GR)

[73]  arXiv:2403.18758 [pdf, ps, other]

Title: On the cohomological dimension of kernels of maps to $\mathbb Z$

Authors: Sam P Fisher

Comments: 11 pages

Subjects: Group Theory (math.GR)

[74]  arXiv:2403.19187 [pdf, ps, other]

Title: Effective codescent morphisms of $n$-quasigroups and $n$-loops

Authors: Dali Zangurashvili

Subjects: Group Theory (math.GR); Category Theory (math.CT)

[75]  arXiv:2403.19361 [pdf, ps, other]

Title: Polyadic sigma matrices

Authors: Steven Duplij (University of Münster)

Comments: 19 pages, amslatex

Subjects: Group Theory (math.GR); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Quantum Physics (quant-ph)

[76]  arXiv:2403.20077 [pdf, ps, other]

Title: Tannaka-Krein duality for Roelcke-precompact non-archimedean Polish groups

Authors: Rémi Barritault (AGL, ICJ)

Subjects: Group Theory (math.GR); Logic (math.LO); Representation Theory (math.RT)

[77]  arXiv:2403.20299 [pdf, ps, other]

Title: Every locally compact group is the outer automorphism group of a II$_1$ factor

Authors: Stefaan Vaes

Subjects: Group Theory (math.GR); Dynamical Systems (math.DS); Operator Algebras (math.OA)

[78]  arXiv:2403.00240 (cross-list from math.CO) [pdf, ps, other]

Title: Nonexistence of generalized quadrangles admitting a point-primitive and line-primitive automorphism group with socle ${\rm PSU}(3,q)$, $q\geq 3$

Authors: Jianbing Lu, Yingnan Zhang, Hanlin Zou

Comments: 21 pages

Subjects: Combinatorics (math.CO); Group Theory (math.GR)

[79]  arXiv:2403.00516 (cross-list from math.GT) [pdf, other]

Title: Extensions of braid group representations to the monoid of singular braids

Authors: Valeriy G. Bardakov, Nafaa Chbili, Tatyana A. Kozlovskaya

Comments: 18 pages, 2 figures

Subjects: Geometric Topology (math.GT); Group Theory (math.GR)

[80]  arXiv:2403.01441 (cross-list from math.CO) [pdf, ps, other]

Title: On a mod $3$ property of $\ell $-tuples of pairwise commuting permutations

Authors: Abdelmalek Abdesselam, Bernhard Heim, Markus Neuhauser

Subjects: Combinatorics (math.CO); Group Theory (math.GR)

[81]  arXiv:2403.02291 (cross-list from math.GT) [pdf, other]

Title: Reeb graph invariants of Morse functions and $3$-manifold groups

Authors: Łukasz Patryk Michalak

Comments: 13 pages

Subjects: Geometric Topology (math.GT); Group Theory (math.GR)

[82]  arXiv:2403.02492 (cross-list from math.LO) [pdf, ps, other]

Title: Two results on complexities of decision problems of groups

Authors: Uri Andrews, Matthew Harrison-Trainor, Meng-Che "Turbo" Ho

Comments: 12 pages

Subjects: Logic (math.LO); Group Theory (math.GR)

[83]  arXiv:2403.03887 (cross-list from math.GT) [pdf, other]

Title: Homeomorphism groups of telescoping 2-manifolds are strongly distorted

Authors: Nicholas G. Vlamis

Comments: 27 pages, 2 figures

Subjects: Geometric Topology (math.GT); Group Theory (math.GR)

[84]  arXiv:2403.04286 (cross-list from math.AT) [pdf, ps, other]

Title: On the structures of the Johnson cokernels of the basis-conjugating automorphism groups of free groups

Authors: Naoya Enomoto, Takao Satoh

Subjects: Algebraic Topology (math.AT); Group Theory (math.GR)

[85]  arXiv:2403.04496 (cross-list from math.GT) [pdf, other]

Title: Monodromy of stratified braid groups, II

Authors: Nick Salter

Comments: 27 pages with 15 figures. Comments welcome!

Subjects: Geometric Topology (math.GT); Group Theory (math.GR)

[86]  arXiv:2403.04649 (cross-list from math.OA) [pdf, other]

Title: Twisted group C*-algebras of acylindrically hyperbolic groups have stable rank one

Authors: Sven Raum

Comments: 4 pages, v2: added references

Subjects: Operator Algebras (math.OA); Group Theory (math.GR)

[87]  arXiv:2403.04941 (cross-list from math.GT) [pdf, ps, other]

Title: BNSR-Invariants of Surface Houghton Groups

Authors: Noah Torgerson, Jeremy West

Comments: 22 pages, 5 figures

Subjects: Geometric Topology (math.GT); Group Theory (math.GR)

[88]  arXiv:2403.05191 (cross-list from math.RA) [pdf, other]

Title: Congruences of regular variants of finite full transformation semigroups

Authors: Igor Dolinka, James East, Nik Ruškuc

Comments: 25 pages, 5 figures

Subjects: Rings and Algebras (math.RA); Group Theory (math.GR)

[89]  arXiv:2403.05255 (cross-list from math.KT) [pdf, ps, other]

Title: Tautological characteristic classes II: the Witt class

Authors: Jan Dymara, Tadeusz Januszkiewicz

Comments: 1 Figure

Subjects: K-Theory and Homology (math.KT); Group Theory (math.GR)

[90]  arXiv:2403.05312 (cross-list from math.FA) [pdf, ps, other]

Title: Weak property $(\mathrm{T}_{L^p})$ for discrete groups

Authors: Emilie Mai Elkiær

Comments: 13 pages

Subjects: Functional Analysis (math.FA); Group Theory (math.GR)

[91]  arXiv:2403.05319 (cross-list from math.NT) [pdf, ps, other]

Title: Ducci on $\mathbb{Z}_m^n$ and the Maximum Length for $n$ Odd

Authors: Mark L. Lewis, Shannon M. Tefft

Subjects: Number Theory (math.NT); Group Theory (math.GR)

[92]  arXiv:2403.05375 (cross-list from math.DS) [pdf, other]

Title: Multiple correlations of spectra for higher rank Anosov representations

Authors: Michael Chow, Hee Oh

Comments: 31 pages, 2 figures

Subjects: Dynamical Systems (math.DS); Group Theory (math.GR); Geometric Topology (math.GT)

[93]  arXiv:2403.05998 (cross-list from math.DS) [pdf, ps, other]

Title: Generalized Gottschalk's conjecture for sofic groups and applications

Authors: Xuan Kien Phung

Subjects: Dynamical Systems (math.DS); Algebraic Geometry (math.AG); Group Theory (math.GR); Rings and Algebras (math.RA); Cellular Automata and Lattice Gases (nlin.CG)

[94]  arXiv:2403.06127 (cross-list from math.MG) [pdf, ps, other]

Title: A boundary for hyperbolic digraphs and semigroups

Authors: Matthias Hamann

Comments: 30 pages, arXiv:2110.13049v1 was split into two parts, this is the second part

Subjects: Metric Geometry (math.MG); Combinatorics (math.CO); Group Theory (math.GR)

[95]  arXiv:2403.06250 (cross-list from math.RA) [pdf, ps, other]

Title: Averaging operators on groups, racks and Leibniz algebras

Authors: Apurba Das

Comments: 35 pages

Subjects: Rings and Algebras (math.RA); Group Theory (math.GR)

[96]  arXiv:2403.06480 (cross-list from math.DS) [pdf, ps, other]

Title: SFT covers for actions of the first Grigorchuk group

Authors: Rostislav Grigorchuk, Ville Salo

Comments: 34 pages

Subjects: Dynamical Systems (math.DS); Group Theory (math.GR)

[97]  arXiv:2403.06767 (cross-list from math.OA) [pdf, ps, other]

Title: Continuity and equivariant dimension

Authors: Alexandru Chirvasitu, Benjamin Passer

Comments: 21 pages + references

Subjects: Operator Algebras (math.OA); Algebraic Topology (math.AT); Functional Analysis (math.FA); Group Theory (math.GR); Quantum Algebra (math.QA)

[98]  arXiv:2403.06982 (cross-list from math.DS) [pdf, ps, other]

Title: Test for amenability for extensions of infinite residually finite groups

Authors: María Isabel Cortez, Jaime Gómez

Comments: 19 pages. arXiv admin note: substantial text overlap with arXiv:2312.12562

Subjects: Dynamical Systems (math.DS); Group Theory (math.GR)

[99]  arXiv:2403.07195 (cross-list from math.SG) [pdf, ps, other]

Title: A symplectic Hilbert-Smith conjecture

Authors: Egor Shelukhin

Comments: 16 pages; appendix by Leonid Polterovich

Subjects: Symplectic Geometry (math.SG); Algebraic Topology (math.AT); Dynamical Systems (math.DS); Group Theory (math.GR)

[100]  arXiv:2403.07383 (cross-list from math.GT) [pdf, ps, other]

Title: Homogeneous quandles with commutative inner automorphism groups

Authors: Takuya Saito, Sakumi Sugawara

Comments: 19 pages, 8 figures

Subjects: Geometric Topology (math.GT); Combinatorics (math.CO); Group Theory (math.GR)

[101]  arXiv:2403.07545 (cross-list from math.NT) [pdf, other]

Title: Artin-Schreier quandles of involutions in absolute Galois groups

Authors: Markus Szymik

Comments: 19 pages, 1 figure

Subjects: Number Theory (math.NT); Group Theory (math.GR); Geometric Topology (math.GT); Quantum Algebra (math.QA)

[102]  arXiv:2403.07546 (cross-list from math.AG) [pdf, other]

Title: Homological stability for the Cremona groups

Authors: Markus Szymik

Comments: 12 pages

Subjects: Algebraic Geometry (math.AG); Algebraic Topology (math.AT); Group Theory (math.GR); Geometric Topology (math.GT); K-Theory and Homology (math.KT)

[103]  arXiv:2403.07659 (cross-list from math.NT) [pdf, ps, other]

Title: The power operation in the Galois cohomology of a reductive group over a number field

Authors: Mikhail Borovoi, Zinovy Reichstein

Comments: 52 pages. V2: typos corrected

Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG); Group Theory (math.GR); Representation Theory (math.RT)

[104]  arXiv:2403.07776 (cross-list from math.CO) [pdf, other]

Title: Towards a Stallings-type theorem for finite groups

Authors: Johannes Carmesin, George Kontogeorgiou, Jan Kurkofka, Will J. Turner

Comments: 33 pages, 18 figures

Subjects: Combinatorics (math.CO); Group Theory (math.GR)

[105]  arXiv:2403.08072 (cross-list from math.OA) [pdf, other]

Title: On conjugacy and perturbation of subalgebras

Authors: David Gao, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell, Hui Tan

Comments: Comments welcome! 21 pages

Subjects: Operator Algebras (math.OA); Group Theory (math.GR); Logic (math.LO)

[106]  arXiv:2403.08665 (cross-list from math.AG) [pdf, ps, other]

Title: A higher-dimensional Chevalley restriction theorem for classical groups in characteristic p

Authors: Xiaopeng Xia

Comments: arXiv admin note: text overlap with arXiv:2207.03147

Subjects: Algebraic Geometry (math.AG); Group Theory (math.GR)

[107]  arXiv:2403.09046 (cross-list from math.RT) [pdf, ps, other]

Title: Uniform Character Bounds for Finite Classical Groups

Authors: Michael Larsen, Pham Huu Tiep

Comments: To appear in Annals of Mathematics

Subjects: Representation Theory (math.RT); Group Theory (math.GR)

[108]  arXiv:2403.09803 (cross-list from math.GT) [pdf, ps, other]

Title: Tiny non-Leighton complexes

Authors: Natalia S. Dergacheva, Anton A. Klyachko

Comments: 5 pages. A Russian version of this paper is at this http URL . V2: A remark (due to Martin Bridson) is added

Subjects: Geometric Topology (math.GT); Combinatorics (math.CO); Group Theory (math.GR)

[109]  arXiv:2403.11326 (cross-list from math.LO) [pdf, ps, other]

Title: Borel Complexity of the Isomorphism Relation of Archimedean Orders in Finitely Generated Groups

Authors: Antoine Poulin

Subjects: Logic (math.LO); Dynamical Systems (math.DS); Group Theory (math.GR)

[110]  arXiv:2403.11406 (cross-list from math.PR) [pdf, ps, other]

Title: Dimensions of harmonic measures in percolation clusters on hyperbolic groups

Authors: Kohki Sakamoto

Comments: 16 pages

Subjects: Probability (math.PR); Dynamical Systems (math.DS); Group Theory (math.GR)

[111]  arXiv:2403.12355 (cross-list from math.PR) [pdf, ps, other]

Title: Cutoff for random Cayley graphs of nilpotent groups

Authors: Jonathan Hermon, Xiangying Huang

Subjects: Probability (math.PR); Group Theory (math.GR)

[112]  arXiv:2403.12742 (cross-list from math.DG) [pdf, ps, other]

Title: Controllability and diffeomorphism groups on manifolds with boundary

Authors: Erlend Grong, Alexander Schmeding

Comments: 23 pages

Subjects: Differential Geometry (math.DG); Group Theory (math.GR)

[113]  arXiv:2403.13121 (cross-list from math.CO) [pdf, ps, other]

Title: Self-avoiding walk is ballistic on graphs with more than one end

Authors: Florian Lehner, Christian Lindorfer, Christoforos Panagiotis

Comments: 53 pages, 3 figures

Subjects: Combinatorics (math.CO); Group Theory (math.GR); Probability (math.PR)

[114]  arXiv:2403.13645 (cross-list from math.OA) [pdf, ps, other]

Title: Maximal ideals of reduced group C*-algebras and Thompson's groups

Authors: Kevin Aguyar Brix, Chris Bruce, Kang Li, Eduardo Scarparo

Comments: 15 pages. Corrected the arXiv title of the paper

Subjects: Operator Algebras (math.OA); Group Theory (math.GR)

[115]  arXiv:2403.13668 (cross-list from math.GT) [pdf, ps, other]

Title: Topological and geometric restrictions on hyperconvex representations

Authors: James Farre, Beatrice Pozzetti, Gabriele Viaggi

Comments: 22 pages. Comments are welcome!

Subjects: Geometric Topology (math.GT); Differential Geometry (math.DG); Group Theory (math.GR)

[116]  arXiv:2403.14257 (cross-list from math.DG) [pdf, ps, other]

Title: Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing

Authors: Benjamin Delarue, Daniel Monclair, Andrew Sanders

Comments: 54 pages

Subjects: Differential Geometry (math.DG); Dynamical Systems (math.DS); Group Theory (math.GR); Geometric Topology (math.GT)

[117]  arXiv:2403.14426 (cross-list from math.SP) [pdf, ps, other]

Title: Quantum resonances and scattering poles of classical rank one locally symmetric spaces

Authors: Benjamin Delarue, Joachim Hilgert

Comments: 16 pages

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph); Group Theory (math.GR)

[118]  arXiv:2403.14569 (cross-list from math.AT) [pdf, ps, other]

Title: On the group cohomology of groups of the form $\mathbb{Z}^n\rtimes \mathbb{Z}/m$ with $m$ free of squares

Authors: Luis Jorge Sánchez Saldaña, Mario Velásquez

Subjects: Algebraic Topology (math.AT); Group Theory (math.GR)

[119]  arXiv:2403.14571 (cross-list from math.RT) [pdf, other]

Title: Trivial source character tables of Frobenius groups of type $(C_p \times C_p) \rtimes H$

Authors: Bernhard Boehmler, Caroline Lassueur

Comments: Correction to Proposition 3.7

Subjects: Representation Theory (math.RT); Group Theory (math.GR)

[120]  arXiv:2403.14975 (cross-list from math.QA) [pdf, ps, other]

Title: Classification of right nilpotent $\mathbb{F}_p$-braces of cardinality $p^5$

Authors: Snehashis Mukherjee

Comments: 28 pages. Comments are welcomed

Subjects: Quantum Algebra (math.QA); Group Theory (math.GR); Rings and Algebras (math.RA)

[121]  arXiv:2403.16500 (cross-list from math.FA) [pdf, ps, other]

Title: On quasi-homomorphism rigidity for lattices in simple algebraic groups

Authors: Guillaume Dumas (UCBL, ICJ, EDPA)

Subjects: Functional Analysis (math.FA); Group Theory (math.GR)

[122]  arXiv:2403.16822 (cross-list from math.CO) [pdf, ps, other]

Title: Locally-primitive block designs

Authors: Jianfu Chen, Peice Hua, Cai Heng Li, Yanni Wu

Subjects: Combinatorics (math.CO); Group Theory (math.GR)

[123]  arXiv:2403.16838 (cross-list from math.GT) [pdf, other]

Title: Thompson's group $F$, tangles, and link homology

Authors: Vyacheslav Krushkal, Louisa Liles, Yangxiao Luo

Comments: 22 pages, many figures

Subjects: Geometric Topology (math.GT); Group Theory (math.GR); Quantum Algebra (math.QA)

[124]  arXiv:2403.17167 (cross-list from math.AG) [pdf, other]

Title: Monodromy groups of indecomposable coverings of bounded genus

Authors: Danny Neftin, Michael E. Zieve

Subjects: Algebraic Geometry (math.AG); Group Theory (math.GR); Number Theory (math.NT)

[125]  arXiv:2403.17168 (cross-list from math.AG) [pdf, other]

Title: Monodromy groups of product type

Authors: Danny Neftin, Michael E. Zieve

Subjects: Algebraic Geometry (math.AG); Group Theory (math.GR); Number Theory (math.NT)

[126]  arXiv:2403.17684 (cross-list from math.LO) [pdf, ps, other]

Title: Omega-categorical pseudofinite groups

Authors: Dugald Macpherson, Katrin Tent

Comments: 13 pages

Subjects: Logic (math.LO); Group Theory (math.GR)

[127]  arXiv:2403.17703 (cross-list from math.GT) [pdf, ps, other]

Title: Residual finiteness of fundamental $n$-quandles of links

Authors: Neeraj Kumar Dhanwani, Deepanshi Saraf, Mahender Singh

Comments: 16 pages, comments are welcomed

Subjects: Geometric Topology (math.GT); Group Theory (math.GR); Quantum Algebra (math.QA)

[128]  arXiv:2403.18335 (cross-list from math.CO) [pdf, ps, other]

Title: Arc-transitive maps with coprime Euler characteristic and edge number

Authors: C. H. Li, Lu Yi Liu

Subjects: Combinatorics (math.CO); Group Theory (math.GR)

[129]  arXiv:2403.18498 (cross-list from math.RA) [pdf, ps, other]

Title: Global Representation Ring and Knutson Index

Authors: Dylan Johnston, Diego Martín Duro, Dmitriy Rumynin

Comments: Version 4: Question 3.7 answered, and new questions added at the end of section 4. New computational examples added and minor typos corrected

Subjects: Rings and Algebras (math.RA); Group Theory (math.GR); Representation Theory (math.RT)

[130]  arXiv:2403.18653 (cross-list from math.QA) [pdf, other]

Title: Indecomposable involutive set-theoretical solutions to the Yang-Baxter equation of size $p^2$

Authors: Carsten Dietzel, Silvia Properzi, Senne Trappeniers

Comments: 20 Pages, Comments Welcome!

Subjects: Quantum Algebra (math.QA); Group Theory (math.GR); Rings and Algebras (math.RA)

[131]  arXiv:2403.18698 (cross-list from math.GT) [pdf, ps, other]

Title: Submanifold projections and hyperbolicity in ${\rm Out}(F_n)$

Authors: Ursula Hamenstädt, Sebastian Hensel

Comments: 24 pages

Subjects: Geometric Topology (math.GT); Group Theory (math.GR)

[132]  arXiv:2403.18808 (cross-list from math.RA) [pdf, ps, other]

Title: Solid lines in axial algebras of Jordan type $\tfrac{1}{2}$ and Jordan algebras

Authors: Jari Desmet

Comments: New version, 15 pages. Comments welcome

Subjects: Rings and Algebras (math.RA); Group Theory (math.GR)

[133]  arXiv:2403.20264 (cross-list from math.AT) [pdf, other]

Title: Infinitesimal calculations in fundamental groups

Authors: Nir Gadish, Aydin Ozbek, Dev Sinha, Ben Walter

Comments: 51 pages including two appendices, 6 figures

Subjects: Algebraic Topology (math.AT); Group Theory (math.GR); Geometric Topology (math.GT)

[134]  arXiv:2403.20270 (cross-list from math.LO) [pdf, ps, other]

Title: Mekler's Construction and Murphy's Law for 2-Nilpotent Groups

Authors: Blaise Boissonneau, Aris Papadopoulos, Pierre Touchard

Comments: 45 pages. Preliminary version, comments welcome!

Subjects: Logic (math.LO); Combinatorics (math.CO); Group Theory (math.GR)

[135]  arXiv:2403.20059 (cross-list from cs.CR) [pdf, other]

Title: Optimal s-boxes against alternative operations

Authors: Marco Calderini, Roberto Civino, Riccardo Invernizzi

Subjects: Cryptography and Security (cs.CR); Group Theory (math.GR)