Group Theory

Authors and titles for math.GR in Sep 2023, skipping first 25

[26]  arXiv:2309.05495 [pdf, ps, other]

Title: Right-angled Artin groups and the cohomology basis graph

Authors: Ramón Flores, Delaram Kahrobaei, Thomas Koberda, Corentin Le Coz

Comments: 17 pages

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

[27]  arXiv:2309.05547 [pdf, ps, other]

Title: Characterizing the kernel of the Burau representation modulo 2 for the 4-strand braid group

Authors: Donsung Lee

Comments: 22 pages

Subjects: Group Theory (math.GR)

[28]  arXiv:2309.05796 [pdf, ps, other]

Title: On the degrees of irreducible characters fixed by some field automorphism in finite groups

Authors: N. Grittini

Subjects: Group Theory (math.GR)

[29]  arXiv:2309.06144 [pdf, ps, other]

Title: Conjugacy Class Growth in Virtually Abelian Groups

Authors: Aram Dermenjian, Alex Evetts

Comments: 11 pages, 2 figures

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

[30]  arXiv:2309.06213 [pdf, other]

Title: Higman-Thompson groups and profinite properties of right-angled Coxeter groups

Authors: Samuel M. Corson, Sam Hughes, Philip Möller, Olga Varghese

Comments: 24 pages

Subjects: Group Theory (math.GR)

[31]  arXiv:2309.06224 [pdf, other]

Title: Hyperbolic groups satisfy the Boone-Higman conjecture

Authors: James Belk, Collin Bleak, Francesco Matucci, Matthew C. B. Zaremsky

Comments: V1: Comments welcome. V2: Submitted version. 69 pages

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

[32]  arXiv:2309.06362 [pdf, ps, other]

Title: Quantitative characterization of finite simple groups: a complement

Authors: Wujie Shi

Comments: 39 pages

Journal-ref: The original version of this article was published in Chinese in the journal Scientia Sinica Mathematica, no.53(2023), pp.931-952. This revised and expanded version has corrected several errors and added quite a few contents

Subjects: Group Theory (math.GR)

[33]  arXiv:2309.06396 [pdf, ps, other]

Title: On extensions of number fields with given quadratic algebras and cohomology

Authors: Oussama Hamza

Comments: 17 pages, better exposition, removing Proposition 1.1 from previous version, more details in Part 2

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

[34]  arXiv:2309.06614 [pdf, ps, other]

Title: The Right Angled Artin Group Functor as a Categorical Embedding

Authors: Chris Grossack

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

[35]  arXiv:2309.06848 [pdf, ps, other]

Title: Hopf Galois structures, skew braces for groups of size $p^nq$: The cyclic Sylow subgroup case

Authors: Namrata Arvind, Saikat Panja

Comments: 19 pages; Preliminary version

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

[36]  arXiv:2309.06976 [src]

Title: On Schur Rings Over a Semi Dihedral Group

Authors: Hao Yu

Comments: During the modification process, we encountered a gap (Lemma 3.8)

Subjects: Group Theory (math.GR)

[37]  arXiv:2309.07013 [pdf, ps, other]

Title: Induced quasi-isometries of hyperbolic spaces, Markov chains, and acylindrical hyperbolicity

Authors: Antoine Goldsborough, Mark Hagen, Harry Petyt, Jacob Russell, Alessandro Sisto

Comments: 36 pages, 1 figure. Main paper by A. Goldsborough, M. Hagen, H. Petyt and A. Sisto; appendix by J. Russell

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

[38]  arXiv:2309.07644 [pdf, ps, other]

Title: Haar measure for non-Hausdorff locally compact groups

Authors: Lisa Valentini

Comments: 17 pages

Subjects: Group Theory (math.GR)

[39]  arXiv:2309.07691 [pdf, ps, other]

Title: Infinitely many commensurability classes of compact Coxeter polyhedra in $\mathbb{H}^4$ and $\mathbb{H}^5$

Authors: Nikolay Bogachev, Sami Douba, Jean Raimbault

Comments: Final version, to appear in Advances in Mathematics

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

[40]  arXiv:2309.07885 [pdf, other]

Title: Generating Sets and Algebraic Properties of Pure Mapping Class Groups of Infinite Graphs

Authors: George Domat, Hannah Hoganson, Sanghoon Kwak

Comments: 36 pages, 10 figures

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

[41]  arXiv:2309.08400 [pdf, other]

Title: About discrete subgroups of full groups of measure preserving equivalence relations

Authors: Vadim Alekseev, Alessandro Carderi, Andreas Thom, Robin Tucker-Drob

Comments: 25 pages

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

[42]  arXiv:2309.08483 [pdf, ps, other]

Title: Groups elementary equivalent to finitely generated free metabelian

Authors: Olga Kharlampovich, Alexei Miasnikov

Comments: arXiv admin note: substantial text overlap with arXiv:2109.13133

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

[43]  arXiv:2309.08811 [pdf, other]

Title: Subgroup and Coset Intersection in abelian-by-cyclic groups

Authors: Ruiwen Dong

Comments: 25 pages

Subjects: Group Theory (math.GR); Discrete Mathematics (cs.DM)

[44]  arXiv:2309.09010 [pdf, ps, other]

Title: Automorphic word maps and Amit--Ashurst conjecture

Authors: Harish Kishnani, Amit Kulshrestha

Comments: 10 pages

Subjects: Group Theory (math.GR)

[45]  arXiv:2309.09096 [pdf, ps, other]

Title: On $p$-nonsingular systems of equations over solvable groups

Authors: Mikhail A. Mikheenko

Comments: 12 pages, 1 table. v3: the beginning of introduction rewritten; inaccuracies in Section 2 corrected (as well as some other minor inaccuracies) - the results remain the same; a shorter proof for Section 3 presented, thanks to an anonymous referee; Table 1 addeed; a new reference added

Subjects: Group Theory (math.GR)

[46]  arXiv:2309.09104 [pdf, ps, other]

Title: Characterization of Solubilizers of Elements in Minimal Simple Groups

Authors: Banafsheh Akbari, Jake Chuharski, Vismay Sharan, Zachary Slonim

Subjects: Group Theory (math.GR)

[47]  arXiv:2309.10474 [pdf, ps, other]

Title: On quadratic conjecture

Authors: Jingjing Duan, Lijian An

Subjects: Group Theory (math.GR)

[48]  arXiv:2309.10648 [pdf, ps, other]

Title: Fixed Points of Automorphisms of Torus Knot Groups

Authors: Oli Jones

Comments: 19 pages

Subjects: Group Theory (math.GR)

[49]  arXiv:2309.10715 [pdf, ps, other]

Title: Gassmann triples with special cycle types and applications

Authors: Holger Kammeyer, Steffen Kionke

Comments: 11 pages

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

[50]  arXiv:2309.11078 [pdf, ps, other]

Title: Assemblies as Semigroups

Authors: Ulderico Dardano, Bruno Dinis, Giuseppina Terzo

Subjects: Group Theory (math.GR)