Group Theory

Authors and titles for math.GR in Mar 2023, skipping first 125

[126]  arXiv:2303.10715 (cross-list from math.NT) [pdf, ps, other]

Title: A local-global conjugacy question arising from arithmetic dynamics

Authors: Vefa Goksel

Comments: To appear in Groups, Geometry, and Dynamics

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

[127]  arXiv:2303.11481 (cross-list from math.NT) [pdf, ps, other]

Title: Bianchi and Hilbert-Blumenthal quaternionic orbifolds

Authors: Alberto Verjovsky, Adrian Zenteno

Comments: 16 pages

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

[128]  arXiv:2303.11808 (cross-list from math.NT) [pdf, ps, other]

Title: Regular dessins with primitive automorphism groups

Authors: Gareth A. Jones, Martin Mačaj

Comments: 24 pages, 9 figures

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

[129]  arXiv:2303.13208 (cross-list from math.RA) [pdf, ps, other]

Title: Operator Kantor Pairs

Authors: Sigiswald Barbier, Tom De Medts, Michiel Smet

Comments: 65 pages

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

[130]  arXiv:2303.13387 (cross-list from math.RA) [pdf, ps, other]

Title: Hopf-Galois structures on extensions of degree $p^{2} q$ and skew braces of order $p^{2} q$: the elementary abelian Sylow $p$-subgroup case

Authors: E. Campedel, A. Caranti, I. Del Corso

Comments: 95 pages

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

[131]  arXiv:2303.13973 (cross-list from math.RT) [pdf, ps, other]

Title: The Brown complex in non-defining characteristic and applications

Authors: Damiano Rossi

Comments: In this paper, we present a way to circumvent a gap present in the proof of Proposition 7.1.6 of the author's PhD thesis that was kindly pointed out by Michel Brou\'e. v2: added a condition on the centre of the dual group in Lemma 1.8 and Corollary 1.9 (this was pointed out by Gunter Malle), Definition 2.1 is modified accordingly

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

[132]  arXiv:2303.14820 (cross-list from math.DS) [pdf, other]

Title: The geometric subgroup membership problem

Authors: Nicanor Carrasco-Vargas

Comments: References updated

Subjects: Dynamical Systems (math.DS); Combinatorics (math.CO); Group Theory (math.GR); Logic (math.LO)

[133]  arXiv:2303.15596 (cross-list from math.RT) [pdf, ps, other]

Title: Symmetric Powers

Authors: János Kollár, Pham Huu Tiep

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

[134]  arXiv:2303.15605 (cross-list from math.AG) [pdf, ps, other]

Title: Permawound Unipotent Groups

Authors: Zev Rosengarten

Comments: 55 pages

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

[135]  arXiv:2303.15611 (cross-list from math-ph) [pdf, other]

Title: Converging Periodic Boundary Conditions and Detection of Topological Gaps on Regular Hyperbolic Tessellations

Authors: Fabian R. Lux, Emil Prodan

Journal-ref: Phys. Rev. Lett. 131, 176603 (2023)

Subjects: Mathematical Physics (math-ph); Materials Science (cond-mat.mtrl-sci); Group Theory (math.GR); Operator Algebras (math.OA)

[136]  arXiv:2303.15613 (cross-list from math.AT) [pdf, other]

Title: Quillen's conjecture and unitary groups

Authors: Antonio Díaz Ramos

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

[137]  arXiv:2303.15738 (cross-list from math.GT) [pdf, other]

Title: Dehn filling and the knot group I: Realization Property

Authors: Tetsuya Ito, Kimihiko Motegi, Masakazu Teragaito

Comments: 41 pages, 2 figures. v3 focuses on hyperbolic knots and improves main results. The title and exposition are also changed

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

[138]  arXiv:2303.15897 (cross-list from math.NT) [pdf, ps, other]

Title: ${\rm Spin}(7)$ is unacceptable

Authors: Gaëtan Chenevier, Wee Teck Gan

Comments: 42 pages

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

[139]  arXiv:2303.15907 (cross-list from math.GT) [pdf, ps, other]

Title: Group rings of three-manifold groups

Authors: Dawid Kielak, Marco Linton

Comments: 10 pages, v2 incorporating referee's comments. To appear in Proc. Amer. Math. Soc

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

[140]  arXiv:2303.16157 (cross-list from math.CO) [pdf, other]

Title: Cycle type in Hall-Paige: A proof of the Friedlander-Gordon-Tannenbaum conjecture

Authors: Alp Müyesser

Comments: 34 pages

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

[141]  arXiv:2303.16365 (cross-list from math.DG) [pdf, ps, other]

Title: On the Homogeneity Conjecture

Authors: Joseph A. Wolf

Comments: This is a survey with new results and open problems

Subjects: Differential Geometry (math.DG); Group Theory (math.GR)

[142]  arXiv:2303.16569 (cross-list from math.CO) [pdf, other]

Title: Shi arrangements and low elements in Coxeter groups

Authors: Matthew Dyer, Christophe Hohlweg, Susanna Fishel, Alice Mark

Comments: 41 pages, 7 figures

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

[143]  arXiv:2303.17414 (cross-list from math.GT) [pdf, other]

Title: A structure theorem and left-orderability of a quotient of quasi-isometry group of the real line

Authors: Swarup Bhowmik, Prateep Chakraborty

Comments: 20 pages

Journal-ref: Geometriae Dedicata, 2024

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

[144]  arXiv:2303.17567 (cross-list from math.RA) [pdf, ps, other]

Title: Groups of the nilpotency class $2$ of order $p^4$ as additive groups of local nearrings

Authors: Iryna Raievska, Maryna Raievska

Comments: arXiv admin note: text overlap with arXiv:2205.08359

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

[145]  arXiv:2303.18065 (cross-list from math.RT) [pdf, ps, other]

Title: Basic quasi-reductive root data and supergroups

Authors: Rita Fioresi, Bin Shu

Comments: Revised version. Title changed and length shortened

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

[146]  arXiv:2303.18073 (cross-list from math.FA) [pdf, ps, other]

Title: Titchmarsh Theorems for Hölder-Lipschitz functions on profinite groups

Authors: J.P. Velasquez-Rodriguez

Subjects: Functional Analysis (math.FA); Group Theory (math.GR)

[147]  arXiv:2303.01957 (cross-list from cs.DS) [pdf, ps, other]

Title: Linear Space Data Structures for Finite Groups with Constant Query-time

Authors: Bireswar Das, Anant Kumar, Shivdutt Sharma, Dhara Thakkar

Comments: A preliminary version of this article appeared in the pro- ceedings of the 39th International Symposium on Theoretical Aspects of Computer Science (STACS 2022)

Subjects: Data Structures and Algorithms (cs.DS); Discrete Mathematics (cs.DM); Combinatorics (math.CO); Group Theory (math.GR)

[148]  arXiv:2303.06629 (cross-list from cs.AI) [pdf, ps, other]

Title: Another Generic Setting for Entity Resolution: Basic Theory

Authors: Xiuzhan Guo, Arthur Berrill, Ajinkya Kulkarni, Kostya Belezko, Min Luo

Subjects: Artificial Intelligence (cs.AI); Databases (cs.DB); Discrete Mathematics (cs.DM); Group Theory (math.GR)