Group Theory

Authors and titles for math.GR in Mar 2023

[1]  arXiv:2303.00254 [pdf, ps, other]

Title: On the converse of Gaschütz' complement theorem

Authors: Benjamin Sambale

Comments: 13 pages, proofs of Shemetkov's and Yonaha's theorems simplified, this version differs significantly from the published paper in J. Group Theory

Subjects: Group Theory (math.GR)

[2]  arXiv:2303.01050 [pdf, ps, other]

Title: On Geometry of Coned-Off Spaces and Cannon-Thurston Maps

Authors: Pranab Sardar, Ravi Tomar

Comments: This version has substantial changes in the introduction, and the exposition of the paper is improved. 36 pages, 1 figure

Subjects: Group Theory (math.GR)

[3]  arXiv:2303.01066 [pdf, ps, other]

Title: Construction of Gyrogroups of Order $2^n$ by Cyclic 2-Groups

Authors: Abraham A. Ungar, Mohammad Ali Salahshour, Kurosh Mavaddat Nezhaad

Subjects: Group Theory (math.GR)

[4]  arXiv:2303.01093 [pdf, ps, other]

Title: Group nilpotency from a graph point of view

Authors: Valentina Grazian, Andrea Lucchini, Carmine Monetta

Subjects: Group Theory (math.GR)

[5]  arXiv:2303.01133 [pdf, ps, other]

Title: Acceptability of classical groups in non-zero characteristic

Authors: Saikat Panja

Comments: Preliminary version, comments are welcome

Subjects: Group Theory (math.GR)

[6]  arXiv:2303.01405 [pdf, ps, other]

Title: Actions of higher rank groups on uniformly convex Banach spaces

Authors: Tim de Laat, Mikael de la Salle

Comments: 30 pages ; minor changes in v2

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

[7]  arXiv:2303.02364 [pdf, ps, other]

Title: Elementary abelian subgroups: from algebraic groups to finite groups

Authors: Jianbei An, Heiko Dietrich, Alastair J. Litterick

Comments: 36 pages, 1 figure. To appear in Transactions of the American Mathematical Society. For associated code, see this https URL

Subjects: Group Theory (math.GR)

[8]  arXiv:2303.02493 [pdf, ps, other]

Title: Regular maps with primitive automorphism groups

Authors: Gareth A. Jones, Martin Mačaj

Comments: 41 pages, 2 figure.s

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

[9]  arXiv:2303.02823 [pdf, ps, other]

Title: On group rings of virtually abelian groups

Authors: Joan Claramunt, Lukasz Grabowski

Comments: 24 pages

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

[10]  arXiv:2303.02964 [pdf, ps, other]

Title: The Yang-Baxter equation, Quantum computing and Quantum entanglement

Authors: Fabienne Chouraqui

Subjects: Group Theory (math.GR); Mathematical Physics (math-ph); Quantum Algebra (math.QA)

[11]  arXiv:2303.02974 [pdf, ps, other]

Title: The Malcev completion of complex braid groups

Authors: Ivan Marin

Subjects: Group Theory (math.GR)

[12]  arXiv:2303.03607 [pdf, ps, other]

Title: On groups with the same character degrees as almost simple groups with socle small Ree groups

Authors: Seyed Hassan Alavi

Comments: arXiv admin note: text overlap with arXiv:1601.06380

Subjects: Group Theory (math.GR)

[13]  arXiv:2303.03644 [pdf, other]

Title: Quantifying separability in limit groups via representations

Authors: Keino Brown, Olga Kharlampovich

Subjects: Group Theory (math.GR)

[14]  arXiv:2303.03861 [pdf, ps, other]

Title: Semigroups of (linear) transformations whose restrictions belong to a given semigroup

Authors: Mosarof Sarkar, Shubh N. Singh

Comments: 15

Subjects: Group Theory (math.GR)

[15]  arXiv:2303.04190 [pdf, other]

Title: Multivariate growth and cogrowth

Authors: Rostislav Grigorchuk, Jean-Francois Quint, Asif Shaikh

Comments: 40 pages, 10 figures, the revised version include the correction of definition 4.1 and the replacement of an incorrect figure 6a

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

[16]  arXiv:2303.04237 [pdf, other]

Title: Stationary random subgroups in negative curvature

Authors: Ilya Gekhtman, Arie Levit

Comments: key changes in v3: 1. improved to finite first moment rather than finite p-th moment for some p > 1. This gives sharper results in some cases, see e.g. Corollary 9.7. Some changes to the proof of the main probabilistic result of section 8. 3. Corrected some minor issues

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

[17]  arXiv:2303.04540 [pdf, other]

Title: A new class of a-T-menable free-by-free groups

Authors: François Gautero

Comments: 27 pages, 6 figures

Subjects: Group Theory (math.GR)

[18]  arXiv:2303.04843 [pdf, other]

Title: Graphically discrete groups and rigidity

Authors: Alex Margolis, Sam Shepherd, Emily Stark, Daniel Woodhouse

Comments: 68 pages, 2 figures

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

[19]  arXiv:2303.04886 [pdf, ps, other]

Title: Some density results involving the average order of a finite group

Authors: Mihai-Silviu Lazorec

Comments: 7 pages; accepted for publication in Comm. Algebra

Subjects: Group Theory (math.GR)

[20]  arXiv:2303.05157 [pdf, ps, other]

Title: Partial groups, pregroups and realisability of fusion systems

Authors: Nicolas Lemoine (IF), Rémi Molinier (IF)

Subjects: Group Theory (math.GR)

[21]  arXiv:2303.05726 [pdf, ps, other]

Title: On a group whose generalized torsion elements are torsion elements

Authors: Tetsuya Ito

Comments: 6 pages, no figures Question 1 and 2 are updated

Subjects: Group Theory (math.GR)

[22]  arXiv:2303.05765 [pdf, ps, other]

Title: Subgroup Theorems for the $\tilde{B_0}$-invariant of groups

Authors: Z. Araghi Rostami, M. Parvizi, P. Niroomand

Subjects: Group Theory (math.GR)

[23]  arXiv:2303.05881 [pdf, ps, other]

Title: A characterization of $A_5$ by its average order

Authors: Marius Tărnăuceanu

Subjects: Group Theory (math.GR)

[24]  arXiv:2303.05976 [pdf, ps, other]

Title: On the coherence of one-relator groups and their group algebras

Authors: Andrei Jaikin-Zapirain, Marco Linton

Comments: 35 pages. A new section with questions has been added at the end (Section 7)

Subjects: Group Theory (math.GR)

[25]  arXiv:2303.06003 [pdf, other]

Title: The binary actions of alternating groups

Authors: Nick Gill, Pierre Guillot

Comments: We have removed a few sections from the previous version; the material covered in these will be the object of a second paper

Subjects: Group Theory (math.GR)

[26]  arXiv:2303.06011 [pdf, ps, other]

Title: Bounding the order of complex linear groups and permutation groups with selected composition factors

Authors: Geoffrey R. Robinson

Comments: Corrects a few typographical errors in previous version, and removes an imprimitive case

Subjects: Group Theory (math.GR)

[27]  arXiv:2303.06236 [pdf, ps, other]

Title: Zariski density and computing with $S$-integral groups

Authors: A.S. Detinko, D. L. Flannery, A. Hulpke

Subjects: Group Theory (math.GR)

[28]  arXiv:2303.06369 [pdf, other]

Title: The product of Lindelöf groups and $\mathbb R$-factorizability

Authors: Evgeny Reznichenko

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

[29]  arXiv:2303.06385 [pdf, ps, other]

Title: The automorphism group of finite $p$-groups associated to the Macdonald group

Authors: Alexander Montoya Ocampo, Fernando Szechtman

Subjects: Group Theory (math.GR)

[30]  arXiv:2303.06426 [pdf, ps, other]

Title: Is a Compact Group with All Dense Subgroups Separable Metrizable?

Authors: Dekui Peng

Comments: 8 pages

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

[31]  arXiv:2303.06450 [pdf, ps, other]

Title: Maximal Haagerup subgroups in $\mathbb{Z}^{n+1}\rtimes_{ρ_n}GL_2(\mathbb{Z})$

Authors: Alain Valette

Comments: Third version, with classification of maximal amenable subgroups of $SL_2(\mathbb{Z})$

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

[32]  arXiv:2303.06454 [pdf, ps, other]

Title: Discrete valuation rings, partitions and $p$-groups I

Authors: Boubakeur Bahri, Yassine Guerboussa

Subjects: Group Theory (math.GR)

[33]  arXiv:2303.06948 [pdf, ps, other]

Title: Decomposition of quandle rings of Takasaki quandles

Authors: Dilpreet Kaur, Pushpendra Singh

Comments: 14 pages

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

[34]  arXiv:2303.06976 [pdf, ps, other]

Title: Stable functorial equivalence of blocks

Authors: Serge Bouc, Deniz Yılmaz

Comments: arXiv admin note: text overlap with arXiv:2212.02054

Subjects: Group Theory (math.GR)

[35]  arXiv:2303.07499 [pdf, ps, other]

Title: Non-bi-orderable one-relator groups without generalized torsion

Authors: Azer Akhmedov, James Thorne

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

[36]  arXiv:2303.07707 [pdf, ps, other]

Title: Automorphisms and opposition in spherical buildings of classical type

Authors: James Parkinson, Hendrik Van Maldeghem

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

[37]  arXiv:2303.07734 [pdf, ps, other]

Title: Linearity and Nonlinearity of Groups of Polynomial Automorphisms of the Plane

Authors: Olivier Mathieu

Subjects: Group Theory (math.GR)

[38]  arXiv:2303.07825 [pdf, ps, other]

Title: Languages, groups and equations

Authors: Laura Ciobanu, Alex Levine

Comments: 26 pages

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

[39]  arXiv:2303.07882 [pdf, ps, other]

Title: Contractibility of the orbit space of the $p$-subgroup complex via Brown-Forman discrete Morse theory

Authors: Benjamin Steinberg

Comments: Minor revision to correct the formulation of the translation from Brown's Noetherian collapsing scheme to Chari's acyclic matching. No proof details have changed

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

[40]  arXiv:2303.08165 [pdf, ps, other]

Title: Division rings for group algebras of virtually compact special groups

Authors: Sam P. Fisher, Pablo Sánchez-Peralta

Comments: Version accepted for publication. Proposition 3.14 is new, showing that the complex group algebra of Higman's group embeds in a division ring

Subjects: Group Theory (math.GR)

[41]  arXiv:2303.08623 [pdf, ps, other]

Title: Strong conciseness of coprime commutators in profinite groups

Authors: Iker de las Heras, Matteo Pintonello, Pavel Shumyatsky

Journal-ref: Journal of Algebra, Volume 633, 2023, Pages 1-19

Subjects: Group Theory (math.GR)

[42]  arXiv:2303.08677 [pdf, ps, other]

Title: Partial metrics and normed inverse semigroups

Authors: Paul Poncet

Comments: 33 pages

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

[43]  arXiv:2303.08943 [pdf, ps, other]

Title: Stability and instability of lattices in semisimple groups

Authors: Uri Bader, Alexander Lubotzky, Roman Sauer, Shmuel Weinberger

Comments: incorporated remarks and corrections of the reviewers

Subjects: Group Theory (math.GR)

[44]  arXiv:2303.09300 [pdf, ps, other]

Title: Reflection length at infinity in hyperbolic reflection groups

Authors: Marco Lotz

Comments: 18 pages, 4 figures. Comments are welcome!

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

[45]  arXiv:2303.09398 [pdf, ps, other]

Title: Cycle matrices: A combinatorial approach to the set-theoretic solutions of the Quantum Yang-Baxter Equation

Authors: Arpan Kanrar, Saikat Panja

Comments: Minor changes after comments by Prof. G. Militaru and Prof. L. Vendramin; No changes in contents; Comments are welcome

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

[46]  arXiv:2303.09460 [pdf, ps, other]

Title: A Note on Thompson Problem

Authors: Yu Li, Wujie Shi

Comments: 6 pages

Subjects: Group Theory (math.GR)

[47]  arXiv:2303.09504 [pdf, ps, other]

Title: The Artin monoid Cayley graph

Authors: Rachael Boyd, Ruth Charney, Rose Morris-Wright, Sarah Rees

Comments: 15 Pages, final version

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

[48]  arXiv:2303.09509 [pdf, other]

Title: The maximal size of a minimal generating set

Authors: Scott Harper

Comments: 10 pages; to appear in Forum of Mathematics, Sigma

Subjects: Group Theory (math.GR)

[49]  arXiv:2303.09633 [pdf, ps, other]

Title: Finiteness Conditions for the $n$-fold Tensor Product of Groups

Authors: R. Bastos, G. Ortega

Subjects: Group Theory (math.GR)

[50]  arXiv:2303.09804 [pdf, other]

Title: Commutator subgroups and crystallographic quotients of virtual extensions of symmetric groups

Authors: Pravin Kumar, Tushar Kanta Naik, Neha Nanda, Mahender Singh

Comments: 29 pages

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