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: changes in v2: 1. shorter by 5 pages by simplifying an argument 2. includes treatment of positive characteristic case 3. includes a new corollary regarding weak equivalence

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)