Group Theory

Authors and titles for math.GR in Feb 2024

[1]  arXiv:2402.00012 [pdf, other]

Title: On generalized covering and avoidance properties of finite groups and saturated fusion systems

Authors: Shengmin Zhang, Zhencai Shen

Subjects: Group Theory (math.GR)

[2]  arXiv:2402.00383 [pdf, ps, other]

Title: Schur rings over Free Abelian Group of Rank Two

Authors: Gang Chen, Jiawei He, Zhiman Wu

Comments: arXiv admin note: text overlap with arXiv:2305.08608

Subjects: Group Theory (math.GR)

[3]  arXiv:2402.00417 [pdf, ps, other]

Title: Presentation of monoids generated by a projection and an involution

Authors: Pascal Caron, Jean-Gabriel Luque, Bruno Patrou

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

[4]  arXiv:2402.00804 [pdf, ps, other]

Title: Weakly subnormal subgroups and variations of the Baer-Suzuki theorem

Authors: Robert M. Guralnick, Hung P. Tong-Viet, Gareth Tracey

Comments: 25 pages; comments welcome

Subjects: Group Theory (math.GR)

[5]  arXiv:2402.00968 [pdf, ps, other]

Title: Products of subsets of group that equal the group

Authors: Oleksandr Vyshnevetskiy

Comments: 6 pages, 0 figures

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

[6]  arXiv:2402.00974 [pdf, other]

Title: Coxeter embeddings are injective

Authors: Ben Elias, Edmund Heng

Comments: v2: Thanks to some helpful leads, we found that this paper contains no new results (albeit providing shorter proofs in some cases). We leave this paper on the arXiv to make the results more accessible, but do not intend to publish it. Discussion of prior work and the corresponding references can be found in the final section. v1: 8 pages. Comments welcomed!

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

[7]  arXiv:2402.01072 [src]

Title: The influence of weakly $SΦ$-supplemented subgroups on fusion systems of finite groups

Authors: Shengmin Zhang, Zhencai Shen

Comments: This paper is not complete

Subjects: Group Theory (math.GR)

[8]  arXiv:2402.01073 [pdf, other]

Title: New characterizations for supersolvability of fusion system and $p$-nilpotency of finite groups

Authors: Shengmin Zhang, Zhencai Shen

Comments: This paper is not complete. arXiv admin note: text overlap with arXiv:2402.00012

Subjects: Group Theory (math.GR)

[9]  arXiv:2402.01358 [pdf, ps, other]

Title: A criterion for a normal subgroup to be hypercentral based on class sizes

Authors: Antonio Beltrán

Subjects: Group Theory (math.GR)

[10]  arXiv:2402.01601 [pdf, ps, other]

Title: Groups with presentations in EDT0L

Authors: Laurent Bartholdi, Leon Pernak, Emmanuel Rauzy

Comments: 45 pages

Subjects: Group Theory (math.GR)

[11]  arXiv:2402.02269 [pdf, other]

Title: The binary actions of simple groups with a single conjugacy class of involutions

Authors: Nick Gill, Pierre Guillot

Comments: arXiv admin note: substantial text overlap with arXiv:2303.06003

Subjects: Group Theory (math.GR)

[12]  arXiv:2402.03032 [pdf, other]

Title: Structural proxies for black box rings encrypting rings of 2 by 2 matrices over finite fields of odd order

Authors: Alexandre Borovik, Sukru Yalcinkaya

Subjects: Group Theory (math.GR)

[13]  arXiv:2402.03556 [pdf, ps, other]

Title: On the spectrum of residual finiteness growth functions

Authors: Henry Bradford

Comments: 13 pages, comments welcome!

Subjects: Group Theory (math.GR)

[14]  arXiv:2402.03673 [pdf, ps, other]

Title: Generation by conjugate elements of finite almost simple groups with a sporadic socle

Authors: Danila O. Revin, Andrei V. Zavarnitsine

Subjects: Group Theory (math.GR)

[15]  arXiv:2402.04323 [pdf, ps, other]

Title: Automorphisms and opposition in spherical buildings of exceptional type, IV: The $E_7$ case

Authors: Yannick Neyt, James Parkinson, Hendrik Van Maldeghem, Magali Victoor

Subjects: Group Theory (math.GR)

[16]  arXiv:2402.04413 [pdf, ps, other]

Title: The multiples of a numerical semigroup

Authors: Ignacio Ojeda, José Carlos Rosales

Comments: 15 pages

Subjects: Group Theory (math.GR)

[17]  arXiv:2402.04592 [pdf, other]

Title: Frattini subgroups of hyperbolic-like groups

Authors: Gil Goffer, Denis Osin, Ekaterina Rybak

Comments: 14 pages, 1 figure. v2: an inaccuracy in Corollary 1.5 is fixed

Subjects: Group Theory (math.GR)

[18]  arXiv:2402.05089 [pdf, ps, other]

Title: On the proportion of derangements and on suborbits in finite transitive groups

Authors: Marco Barbieri, Pablo Spiga

Comments: 7 pages

Subjects: Group Theory (math.GR)

[19]  arXiv:2402.05437 [pdf, ps, other]

Title: A generalization of the Brauer-Fowler theorem

Authors: Saveliy V. Skresanov

Comments: 6 pages

Subjects: Group Theory (math.GR)

[20]  arXiv:2402.05875 [pdf, ps, other]

Title: Generators and presentations of inverse subsemigroups of the monogenic free inverse semigroup

Authors: Jung Won Cho, Nik Ruskuc

Subjects: Group Theory (math.GR)

[21]  arXiv:2402.06144 [pdf, other]

Title: Topological stability of relatively hyperbolic groups acting on their boundaries

Authors: Kathryn Mann, Jason Fox Manning, Theodore Weisman

Comments: 33 pages, 2 figures

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

[22]  arXiv:2402.06157 [pdf, ps, other]

Title: Characterizing finite groups whose enhanced power graphs have universal vertices

Authors: David G. Costanzo, Mark L. Lewis, Stefano Schmidt, Eyob Tsegaye, Gabe Udell

Comments: 8 pages

Subjects: Group Theory (math.GR)

[23]  arXiv:2402.06238 [pdf, ps, other]

Title: Graphs associated to conjugacy classes of normal subgroups in finite groups

Authors: Antonio Beltrán, María José Felipe, Carmen Melchor

Subjects: Group Theory (math.GR)

[24]  arXiv:2402.06240 [pdf, ps, other]

Title: Triangles in the graph of conjugacy classes of normal subgroups

Authors: Antonio Beltrán, María José Felipe, Carmen Melchor

Subjects: Group Theory (math.GR)

[25]  arXiv:2402.06243 [pdf, ps, other]

Title: Squares of real conjugacy classes in finite groups

Authors: Antonio Beltrán, María José Felipe, Carmen Melchor

Subjects: Group Theory (math.GR)