Group Theory

Authors and titles for math.GR in Sep 2023

[1]  arXiv:2309.00078 [pdf, ps, other]

Title: A New Division Algebra Representation of $E_6$

Authors: Tevian Dray, Corinne A. Manogue, Robert A. Wilson

Comments: 9 pages

Journal-ref: J. Math. Phys. 65, 031702 (2024)

Subjects: Group Theory (math.GR); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)

[2]  arXiv:2309.00092 [pdf, ps, other]

Title: Irredundant bases for the symmetric group

Authors: Colva M. Roney-Dougal, Peiran Wu

Subjects: Group Theory (math.GR)

[3]  arXiv:2309.00421 [pdf, other]

Title: A fast algorithm for Stallings foldings over virtually free groups

Authors: Sam Cookson, Nicholas Touikan

Comments: 26 pages, 9 Figures

Subjects: Group Theory (math.GR)

[4]  arXiv:2309.00475 [pdf, ps, other]

Title: Effective equation solving, constraints and growth in virtually abelian groups

Authors: Laura Ciobanu, Alex Evetts, Alex Levine

Comments: 28 pages

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

[5]  arXiv:2309.00914 [pdf, ps, other]

Title: On pro-p Cappitt groups with finite exponent

Authors: Anderson Porto, Igor Lima

Subjects: Group Theory (math.GR)

[6]  arXiv:2309.01241 [pdf, ps, other]

Title: On a finite state representation of $GL(n,\mathbb{Z})$

Authors: Andriy Oliynyk, Veronika Prokhorchuk

Subjects: Group Theory (math.GR)

[7]  arXiv:2309.01766 [pdf, other]

Title: A non-symmetric Kesten criterion and ratio limit theorem for random walks on amenable groups

Authors: Rhiannon Dougall, Richard Sharp

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

[8]  arXiv:2309.02070 [pdf, ps, other]

Title: Why CAT(0) cube complexes should be replaced with median graphs

Authors: Anthony Genevois

Comments: 10 pages. Comments are welcome!

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

[9]  arXiv:2309.02176 [pdf, ps, other]

Title: Kac-Moody Symmetric Spaces: An Addendum

Authors: Ralf Köhl, Christian Vock

Subjects: Group Theory (math.GR)

[10]  arXiv:2309.02344 [pdf, ps, other]

Title: On the commutator length of compact Lie groups

Authors: Juan Omar Gómez, Victor Torres-Castillo, Bernardo Villarreal

Comments: 6 pages, comments welcome!

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

[11]  arXiv:2309.02508 [pdf, ps, other]

Title: Minicourse on Kac-Moody groups

Authors: Timothée Marquis

Comments: 14 pages

Subjects: Group Theory (math.GR)

[12]  arXiv:2309.02607 [pdf, other]

Title: Big Tiles in Hyperbolic Groups

Authors: Azer Akhmedov

Comments: This is the revision of January 18th, 2024, in the journal (originally submitted on October 09th, 2023)

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

[13]  arXiv:2309.02693 [pdf, other]

Title: On the $ICPC$-property of finite subgroups

Authors: Shengmin Zhang

Subjects: Group Theory (math.GR)

[14]  arXiv:2309.02793 [pdf, ps, other]

Title: A special basis for the image of an alternating map and its applications to the size of the Schur multiplier of $p$-groups

Authors: Sathasivam Kalithasan, Tony N. Mavely, Viji Z. Thomas

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

[15]  arXiv:2309.02831 [pdf, ps, other]

Title: The multiplicative semigroup of a Dedekind domain

Authors: James Renshaw, William Warhurst

Subjects: Group Theory (math.GR)

[16]  arXiv:2309.03030 [pdf, ps, other]

Title: Auxiliary free constructions for explicit embeddings of recursive groups

Authors: Vahagn H. Mikaelian

Subjects: Group Theory (math.GR)

[17]  arXiv:2309.03091 [pdf, ps, other]

Title: On the $Σ$-invariants of Artin groups satisfying the $K(π,1)$-conjecture

Authors: Marcos Escartín Ferrer, Conchita Martínez Pérez

Comments: 25 pages. Revised version, some missprints corrected. Accepted for publication in the JLMS

Subjects: Group Theory (math.GR)

[18]  arXiv:2309.03446 [pdf, ps, other]

Title: Skew Product Groups for 2-Groups of Maximal Class

Authors: Wenjuan Luo, Hao Yu

Subjects: Group Theory (math.GR)

[19]  arXiv:2309.03695 [pdf, other]

Title: Cubulated hyperbolic groups admit Anosov representations

Authors: Sami Douba, Balthazar Fléchelles, Theodore Weisman, Feng Zhu

Comments: 59 pages, 13 figures

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

[20]  arXiv:2309.03794 [pdf, ps, other]

Title: Finitely presented kernels of homomorphisms from hyperbolic groups onto free abelian groups

Authors: Robert Kropholler, Claudio Llosa Isenrich

Comments: 15 pages

Subjects: Group Theory (math.GR)

[21]  arXiv:2309.03819 [pdf, ps, other]

Title: On isomorphism to a free group and beyond

Authors: Vladimir Shpilrain

Comments: 5 pages

Subjects: Group Theory (math.GR)

[22]  arXiv:2309.03881 [pdf, ps, other]

Title: The simple $\mathscr{B}_ψ$-groups

Authors: Morteza Baniasad Azad

Subjects: Group Theory (math.GR)

[23]  arXiv:2309.04083 [pdf, ps, other]

Title: Short words of infinite order

Authors: Junho Peter Whang

Comments: 14 pages. Comments are welcome!

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

[24]  arXiv:2309.04569 [pdf, ps, other]

Title: Dynamics of iwip automorphisms of free products

Authors: Ioannis Papavasileiou, Dionysios Syrigos

Comments: arXiv admin note: text overlap with arXiv:math/9712217 by other authors

Subjects: Group Theory (math.GR)

[25]  arXiv:2309.05065 [pdf, ps, other]

Title: An introduction to the local-to-global behaviour of groups acting on trees and the theory of local action diagrams

Authors: Colin D. Reid, Simon M. Smith

Comments: Survey article based on Simon M Smith's lecture at Groups St Andrews 2022

Subjects: Group Theory (math.GR)