Group Theory

Authors and titles for math.GR in Jul 2023

[1]  arXiv:2307.00414 [pdf, ps, other]

Title: Group actions on injective spaces and Helly graphs

Authors: Thomas Haettel

Comments: Comments are welcome! v2: some references added

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

[2]  arXiv:2307.00496 [pdf, ps, other]

Title: Reciprocity in the Hecke Groups

Authors: Debattam Das, Krishnendu Gongopadhyay

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

[3]  arXiv:2307.00546 [pdf, ps, other]

Title: The full automorphism groups of general position graphs

Authors: Junyao Pan

Comments: we solve an open problem proposed by Klaus Metsch

Journal-ref: Journal of Combinatorial Theory, Series A Volume 201, January 2024,105800

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

[4]  arXiv:2307.01334 [pdf, ps, other]

Title: Finitely generated subgroups of algebraic elements of plane Cremona groups are bounded

Authors: Anne Lonjou, Piotr Przytycki, Christian Urech

Subjects: Group Theory (math.GR); Algebraic Geometry (math.AG); Dynamical Systems (math.DS)

[5]  arXiv:2307.01627 [src]

Title: Noncoprime action of a cyclic group

Authors: Gülin Ercan, İsmail Ş. Güloğlu

Comments: The proof of Theorem 2.6 is incorrect. Without this theorem the main claim of the paper becomes unproven

Subjects: Group Theory (math.GR)

[6]  arXiv:2307.02151 [pdf, ps, other]

Title: Dixon's asymptotic without CFSG

Authors: Sean Eberhard

Comments: 4 pages

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

[7]  arXiv:2307.02880 [pdf, other]

Title: Endomorphisms of Artin groups of type D

Authors: Fabrice Castel (IMB), Luis Paris (IMB)

Subjects: Group Theory (math.GR)

[8]  arXiv:2307.03106 [pdf, ps, other]

Title: Regular and semi-regular representations of groups by posets

Authors: Jonathan Ariel Barmak

Comments: 16 pages, 2 figures

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

[9]  arXiv:2307.03627 [pdf, ps, other]

Title: Subsets of free groups with distinct differences

Authors: Simon R. Blackburn, Emma Smith, Luke Stewart

Comments: 14 pages

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

[10]  arXiv:2307.03834 [pdf, ps, other]

Title: Elementary groups in $\PSL(3,\C)$

Authors: Waldemar Barrera, Angel Cano, Juan Pablo Navarrete, José Seade

Subjects: Group Theory (math.GR)

[11]  arXiv:2307.04882 [pdf, other]

Title: Word length versus lower central series depth for surface groups and RAAGs

Authors: Justin Malestein, Andrew Putman

Comments: 11 pages, 4 figures, minor revision; to appear in Groups Geom. Dyn

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

[12]  arXiv:2307.04997 [pdf, other]

Title: The classifying space for commutativity of geometric orientable 3-manifold groups

Authors: Omar Antolín-Camarena, Luis Eduardo García-Hernández, Luis Jorge Sánchez Saldaña

Comments: 36 pages, 4 figures, comments very welcome!

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

[13]  arXiv:2307.05146 [pdf, ps, other]

Title: Torsion-free nilpotent groups of small Hirsch length with isomorphic finite quotients

Authors: Alexander Cant, Bettina Eick

Comments: 14 pages, preprint version of an accepted article to be published in the Journal of Algebra

Subjects: Group Theory (math.GR)

[14]  arXiv:2307.05184 [pdf, ps, other]

Title: Sporadic simple groups as flag-transitive automorphism groups of symmetric designs

Authors: Seyed Hassan Alavi, Ashraf Daneshkhah

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

[15]  arXiv:2307.05190 [pdf, ps, other]

Title: Alternating groups as flag-transitive automorphism groups of 2-designs with block size seven

Authors: Ashraf Daneshkhah

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

[16]  arXiv:2307.05195 [pdf, ps, other]

Title: Almost simple groups as flag-transitive automorphism groups of 2-designs with λ = 2

Authors: Seyed Hassan Alavi

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

[17]  arXiv:2307.05540 [pdf, ps, other]

Title: The structure skew brace associated with a finite non-degenerate solution of the Yang-Baxter equation is finitely presented

Authors: Marco Trombetti

Comments: arXiv admin note: text overlap with arXiv:2210.08598

Journal-ref: Proc. Amer. Math. Soc. (2023)

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

[18]  arXiv:2307.05579 [pdf, ps, other]

Title: Prime divisors and the number of conjugacy classes of finite groups

Authors: Thomas Michael Keller, Alexander Moretó

Comments: To appear in Math. Proc. Cambridge Philos. Soc

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

[19]  arXiv:2307.06169 [pdf, other]

Title: Counting double cosets with application to generic 3-manifolds

Authors: Suzhen Han, Wenyuan Yang, Yanqing Zou

Comments: 22 pages, no figures, exposition improved and reference updated

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

[20]  arXiv:2307.06568 [pdf, ps, other]

Title: On Diamond-Free Subgroup Lattices

Authors: Matt Alexander

Comments: 13 pages, 2 figures

Subjects: Group Theory (math.GR)

[21]  arXiv:2307.06584 [pdf, ps, other]

Title: Elements of prime order in the upper central series of a group of prime-power order

Authors: A. Caranti, C. M. Scoppola

Comments: 6 pages

Subjects: Group Theory (math.GR)

[22]  arXiv:2307.07031 [pdf, ps, other]

Title: On vanishing criteria of $L^2$-Betti numbers of groups

Authors: Pablo Sánchez-Peralta

Comments: Added corollary 6.6 about subgroup obstructions; minor corrections

Subjects: Group Theory (math.GR); Dynamical Systems (math.DS)

[23]  arXiv:2307.07639 [pdf, ps, other]

Title: A real chain condition for groups

Authors: Ulderico Dardano, Fausto De Mari

Subjects: Group Theory (math.GR)

[24]  arXiv:2307.07809 [pdf, ps, other]

Title: Uniqueness of roots up to conjugacy in circular and hosohedral-type Garside groups

Authors: Owen Garnier

Comments: 25 pages

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

[25]  arXiv:2307.07967 [pdf, ps, other]

Title: Product of two involutions in complex special linear group

Authors: Krishnendu Gongopadhyay, Tejbir Lohan, Chandan Maity

Comments: 27 pages

Subjects: Group Theory (math.GR)