Group Theory

Authors and titles for math.GR in Mar 2023, skipping first 50

[51]  arXiv:2303.09815 [pdf, ps, other]

Title: On conditions for the approximability of the fundamental groups of graphs of groups by root classes of groups

Authors: E. V. Sokolov

Comments: 10 pages; the English version of the previously published Russian original

Subjects: Group Theory (math.GR)

[52]  arXiv:2303.09852 [pdf, other]

Title: Rationality of the Gromov Boundary of Hyperbolic Groups

Authors: Davide Perego

Comments: 43 pages

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

[53]  arXiv:2303.09873 [pdf, other]

Title: Cloning systems and action operads

Authors: Javier Aramayona, Federico Cantero Morán, Víctor Carmona, Javier J. Gutiérrez

Comments: In this version we have removed an assumption on the definition of cloning system, matching the original definition. Additionally, we have expanded the section on action operads

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

[54]  arXiv:2303.09943 [pdf, other]

Title: Random divergence of groups

Authors: Antoine Goldsborough, Alessandro Sisto

Comments: 21 pages. 2 figures

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

[55]  arXiv:2303.10341 [pdf, ps, other]

Title: Uniqueness of factorization for fusion-invariant representations

Authors: José Cantarero, Germán Combariza

Comments: 30 pages. Comments are welcome

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

[56]  arXiv:2303.10638 [pdf, ps, other]

Title: Finite $p$-groups of class two with a small multiple holomorph

Authors: A. Caranti, Cindy Tsang

Comments: Fixed some typos and a small mistake in the introduction

Journal-ref: J. Group Theory 27 (2024), no. 2, 345-381

Subjects: Group Theory (math.GR)

[57]  arXiv:2303.10737 [pdf, other]

Title: Round twin groups on few strands

Authors: Jacob Mostovoy

Comments: A preliminary version of this note appeared in Vol. 25 of "Morfismos" this https URL

Subjects: Group Theory (math.GR)

[58]  arXiv:2303.10769 [pdf, ps, other]

Title: Ratio-limit boundaries for random walks on relatively hyperbolic groups

Authors: Adam Dor-On, Matthieu Dussaule, Ilya Gekhtman

Comments: Improved introduction, added new Section 7 where we show that ratio-limit boundary on a fixed group depends on the random walk, added an application of co-universality of Toeplitz C*-algebras at the end of Section 8. 39 pages, 6 figures

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

[59]  arXiv:2303.11027 [pdf, ps, other]

Title: On conjygacy classes in groups

Authors: Marcel Herzog, Patrizia Longobardi, Mercede Maj

Subjects: Group Theory (math.GR)

[60]  arXiv:2303.11218 [pdf, other]

Title: An infinite family of exotic subgroups of hyperbolic groups

Authors: Monika Kudlinska

Comments: New background section. All results remain unchanged. This is the version accepted for publication in the Proceedings of the American Mathematical Society

Subjects: Group Theory (math.GR)

[61]  arXiv:2303.11229 [pdf, ps, other]

Title: Hopf-Galois structures on separable field extensions of degree $pq$

Authors: Andrew Darlington

Comments: 30 pages. arXiv admin note: text overlap with arXiv:2102.05759 by other authors Author comment: this is known and has been cleared with the relevant authors

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

[62]  arXiv:2303.11482 [pdf, ps, other]

Title: On the group of homeomorphisms of the Basilica

Authors: Yury A. Neretin

Comments: 4 pages

Journal-ref: Topology Proceedings, 64 (2024) 121-128

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

[63]  arXiv:2303.12387 [pdf, ps, other]

Title: Counting monogenic monoids and inverse monoids

Authors: L. Elliott, A. Levine, J. D. Mitchell

Comments: 9 pages (2 figures, 1 table, updated with number of improvement, to appear in Comm. Alg.)

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

[64]  arXiv:2303.12404 [pdf, other]

Title: Un experimento de demostración formal de un teorema de nivel intermedio en álgebra (Formalizing the proof of an intermediate-level algebra theorem -- An experiment)

Authors: Antoine Chambert-Loir

Comments: 18 pages

Journal-ref: La Gaceta de la RSME, Vol. 26 (2023), N\'um. 3, P\'ags. 535--553

Subjects: Group Theory (math.GR)

[65]  arXiv:2303.12715 [pdf, ps, other]

Title: Every numerical semigroup arises as an automaton monoid

Authors: Tara Macalister Brough, Alan J. Cain, Jan Philipp Wächter

Comments: 5 pages

Subjects: Group Theory (math.GR)

[66]  arXiv:2303.12844 [pdf, other]

Title: Construction of 2-local finite groups of a type studied by Solomon and Benson: Correction

Authors: Bob Oliver

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

[67]  arXiv:2303.13240 [pdf, ps, other]

Title: Equations over solvable groups

Authors: Anton A. Klyachko, Mikhail A. Mikheenko, Vitaly A. Roman'kov

Comments: 7 pages. A Russian version of this paper is at this http URL . V3: misprints corrected

Journal-ref: Journal of Algebra, 638 (2024), 739-750

Subjects: Group Theory (math.GR)

[68]  arXiv:2303.13384 [pdf, ps, other]

Title: Arithmetic graphs and the products of finite groups

Authors: Viachaslau I. Murashka

Subjects: Group Theory (math.GR)

[69]  arXiv:2303.13728 [pdf, ps, other]

Title: Kervaire conjecture on weight of group via fundamental group of ribbon sphere-link

Authors: Akio Kawauchi

Comments: Minor corrections

Subjects: Group Theory (math.GR)

[70]  arXiv:2303.13734 [pdf, ps, other]

Title: Computing Symmetric Normalisers

Authors: Andreas-Stephan Elsenhans

Subjects: Group Theory (math.GR)

[71]  arXiv:2303.13888 [pdf, ps, other]

Title: Characters of prime power degree in principal blocks

Authors: J. Miquel Martínez

Comments: Minor corrections

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

[72]  arXiv:2303.14144 [pdf, ps, other]

Title: On 3-generated 6-transposition groups

Authors: Vsevolod A. Afanasev, Andrey Mamontov

Comments: 24 pages

Subjects: Group Theory (math.GR)

[73]  arXiv:2303.14290 [pdf, ps, other]

Title: Base sizes of primitive groups of diagonal type

Authors: Hong Yi Huang

Comments: to appear in Forum Math. Sigma

Subjects: Group Theory (math.GR)

[74]  arXiv:2303.14697 [pdf, ps, other]

Title: The central tree property and algorithmic problems on subgroups of free groups

Authors: Mallika Roy, Enric Ventura, Pascal Weil

Comments: 28 pages. Inaccuracies corrected. To appear in Journal of Group Theory

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

[75]  arXiv:2303.14776 [pdf, ps, other]

Title: On the finite axiomatizability of some metabelian profinite groups

Authors: Dan Segal

Subjects: Group Theory (math.GR)