Group Theory

Authors and titles for recent submissions

• Fri, 14 Nov 2025
• Thu, 13 Nov 2025
• Wed, 12 Nov 2025
• Tue, 11 Nov 2025
• Mon, 10 Nov 2025

See today's new changes

Fri, 14 Nov 2025 (showing 8 of 8 entries )

[1] arXiv:2511.10612 [pdf, other]

Title: Commuting graphs of inverse semigroups and completely regular semigroups

Tânia Paulista

Comments: 29 pages

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

[2] arXiv:2511.10469 [pdf, html, other]

Title: Connecting conformal dimension and Poincaré profiles

David Hume, John M. Mackay

Comments: 28 pages, 4 figures

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

[3] arXiv:2511.10422 [pdf, html, other]

Title: A family of accumulation points of non-free rational numbers

Christopher (Bobby)Buyalos, Jayden Thadani, Xinbei Wang, Bradley Zykoski, Michael Zshornack

Comments: 11 pages, comments welcome

Subjects: Group Theory (math.GR)

[4] arXiv:2511.10095 [pdf, html, other]

Title: Block-transitive $t$-($k^2,k,λ$) designs with $PSL(n,q)$ as socle

Guoqiang Xiong, Haiyan Guan

Subjects: Group Theory (math.GR)

[5] arXiv:2511.09982 [pdf, html, other]

Title: The Reidemeister spectrum of ZM-groups

Marius Tărnăuceanu

Comments: Accepted for publication in Bull. Aust. Math. Soc

Subjects: Group Theory (math.GR)

[6] arXiv:2511.10531 (cross-list from math.CT) [pdf, html, other]

Title: Noncommutative tensor triangular geometry: modules, bimodules, and unipotent Hopf algebras

Øyvind Solberg, Kent B. Vashaw, Sarah Witherspoon

Comments: 43 pages, comments welcome

Subjects: Category Theory (math.CT); Group Theory (math.GR); Quantum Algebra (math.QA); Rings and Algebras (math.RA); Representation Theory (math.RT)

[7] arXiv:2511.10221 (cross-list from math.CO) [pdf, other]

Title: Diameters of commuting graphs of partial transformation semigroups

Tânia Paulista

Comments: 23 pages

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

[8] arXiv:2511.09857 (cross-list from math.DG) [pdf, html, other]

Title: On the structure of locally conformally flat orbifolds and ALE manifolds

Xiaokang Wang

Comments: 29 pages, 4 figures, comments welcome!

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

Thu, 13 Nov 2025 (showing 3 of 3 entries )

[9] arXiv:2511.08705 [pdf, html, other]

Title: On a generalisation of Cameron's base size conjecture

Marina Anagnostopoulou-Merkouri

Comments: 65 pages, preliminary version

Subjects: Group Theory (math.GR)

[10] arXiv:2511.09495 (cross-list from math.CO) [pdf, other]

Title: Characterizing the largest commutative (full and partial) transformation semigroups of certain types

Tânia Paulista

Comments: 71 pages

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

[11] arXiv:2511.09270 (cross-list from math.GT) [pdf, html, other]

Title: Alexander-Markov correspondence for doodles on closed surfaces

Komal Negi, Mahender Singh

Comments: 29 pages, 24 figures

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

Wed, 12 Nov 2025 (showing 9 of 9 entries )

[12] arXiv:2511.08518 [pdf, html, other]

Title: A Note on the Metric of Thompson's group V

José Burillo, Marc Felipe

Comments: 6 pages, 3 figures

Subjects: Group Theory (math.GR)

[13] arXiv:2511.08472 [pdf, html, other]

Title: Powers of half-twists and congruence subgroups of braid groups

Paolo Bellingeri, Celeste Damiani, Oscar Ocampo, Charalampos Stylianakis

Comments: 10 pages. Comments are welcome. To be published in AMS Contemporary Mathematics

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

[14] arXiv:2511.08320 [pdf, html, other]

Title: On the Sum of Element Orders in Finite Abelian Groups

Mohsen Amiri

Subjects: Group Theory (math.GR)

[15] arXiv:2511.08312 [pdf, html, other]

Title: On Chamber-regular $\tilde C_2$-Lattices

Franziska Stamer, Thomas Titz Mite

Comments: 29 pages, 5 figures, 8 tables

Subjects: Group Theory (math.GR)

[16] arXiv:2511.07597 [pdf, html, other]

Title: Finite groups, commuting probability, and coprime automorphisms

Eloisa Detomi, Robert M. Guralnick, Marta Morigi, Pavel Shumyatsky

Subjects: Group Theory (math.GR)

[17] arXiv:2511.07492 [pdf, other]

Title: Omega-categorical groups and rings of finite dimension

Moreno Invitti (ICJ)

Subjects: Group Theory (math.GR); Logic (math.LO)

[18] arXiv:2511.08290 (cross-list from math.RA) [pdf, html, other]

Title: The solvable Graph of a finite-dimensional Lie Algebra

David Towers, Ismael Gutierrez, Luis Fernandez

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

[19] arXiv:2511.07917 (cross-list from math.OA) [pdf, html, other]

Title: Diagonal-preserving Isomorphisms of Algebras from Infinite Graphs

Søren Eilers, Efren Ruiz

Comments: Dedicated to Professor Gene Abrams on the occasions of his retirement and 70th birthday

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

[20] arXiv:2511.07420 (cross-list from math.HO) [pdf, html, other]

Title: Advancing mathematics research with generative AI

Lisa Carbone

Subjects: History and Overview (math.HO); Artificial Intelligence (cs.AI); Human-Computer Interaction (cs.HC); Group Theory (math.GR); Logic (math.LO)

Tue, 11 Nov 2025 (showing 10 of 10 entries )

[21] arXiv:2511.07389 [pdf, html, other]

Title: Isaacs' Generalization of Taketa's theorem

Xiaoyou Chen, Mark L. Lewis

Subjects: Group Theory (math.GR)

[22] arXiv:2511.07383 [pdf, html, other]

Title: A converse for a theorem of Gallagher

Xiaoyou Chen, Mark L. Lewis

Subjects: Group Theory (math.GR)

[23] arXiv:2511.07058 [pdf, other]

Title: Endogenies and linearization in the non-virtually connected case

Moreno Invitti (ICJ, AGL)

Subjects: Group Theory (math.GR)

[24] arXiv:2511.07018 [pdf, html, other]

Title: The growth of residually soluble groups

Sean Eberhard, Elena Maini

Comments: 16 pp

Subjects: Group Theory (math.GR)

[25] arXiv:2511.06586 [pdf, html, other]

Title: Surjunctivity does not characterize cosoficity of invariant random subgroups

Lewis Bowen, Michael Chapman

Comments: 23 pages, 2 figures

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

[26] arXiv:2511.06358 [pdf, html, other]

Title: Modular elements in the lattice of monoid varieties

Sergey V. Gusev

Comments: 9 pages

Subjects: Group Theory (math.GR)

[27] arXiv:2511.05621 [pdf, html, other]

Title: Finite groups of matrices over quadratic number fields

Daniil Yurshevich

Comments: 18 pages

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

[28] arXiv:2511.06996 (cross-list from math.RT) [pdf, html, other]

Title: The limit cone and bounds on the growth indicator function

Lasse Lennart Wolf

Comments: 22 pages, 1 figure

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

[29] arXiv:2511.06555 (cross-list from math.AC) [pdf, html, other]

Title: Companion matrices, permutations and lattice ideals

Nsibiet E. Udo, Praise Adeyemo

Comments: 15 pages. An article by Nsibiet E. Udo and Praise Adeyemo; Appendix by NEU

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

[30] arXiv:2511.06517 (cross-list from math.LO) [pdf, html, other]

Title: The epimorphism relation among countable groups is a complete analytic quasi-order

Su Gao, Feng Li, André Nies, Gianluca Paolini

Subjects: Logic (math.LO); Group Theory (math.GR)

Mon, 10 Nov 2025 (showing 6 of 6 entries )

[31] arXiv:2511.05164 [pdf, html, other]

Title: Unisingular representations of rank 1 finite simple groups of Lie type

Marco Antonio Pellegrini, Lorenzo Schena

Subjects: Group Theory (math.GR)

[32] arXiv:2511.05141 [pdf, html, other]

Title: Automaticity of non-positively curved $k$-fold triangle groups

Ana Isaković

Comments: 27 pages, 10 figures

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

[33] arXiv:2511.04836 [pdf, html, other]

Title: Representations of Coxeter groups over fusion rings and hyperplane complements

Edmund Heng, Luis Paris

Comments: Comments are more than welcomed!

Subjects: Group Theory (math.GR); Geometric Topology (math.GT); Quantum Algebra (math.QA); Representation Theory (math.RT)

[34] arXiv:2511.05454 (cross-list from math.AG) [pdf, html, other]

Title: Finite groupoids of configurations of lines in $\mathbb{P}^{3}_{\mathbb{C}}$

Jake Kettinger

Comments: 24 pages, 1 figure. Feedback is appreciated

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

[35] arXiv:2511.05249 (cross-list from math.LO) [pdf, html, other]

Title: Elements of Cohomology for model-theorically finite-dimensional groups and Lie algebras

Samuel Zamour

Subjects: Logic (math.LO); Group Theory (math.GR)

[36] arXiv:2511.04822 (cross-list from math.OA) [pdf, html, other]

Title: Property (T) group factors whose Jones index set equals all positive integers

Ionut Chifan, Junhwi Lim

Comments: 22 pages

Subjects: Operator Algebras (math.OA); Group Theory (math.GR)