Group Theory

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

[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)