Group Theory

Authors and titles for math.GR in Jun 2022, skipping first 50

[51]  arXiv:2206.10150 [pdf, ps, other]

Title: On the topological generation of exceptional groups by unipotent elements

Authors: Timothy C. Burness

Comments: 30 pages; to appear in Transformation Groups

Subjects: Group Theory (math.GR)

[52]  arXiv:2206.10267 [pdf, ps, other]

Title: On embedding theorems for $\mathfrak{X}$-subgroups

Authors: Wenbin Guo, Danila O. Revin, Andrey V. Vasil'ev

Journal-ref: Archiv der Mathematik (Basel), 121, no. 1 (2023), 11--21

Subjects: Group Theory (math.GR)

[53]  arXiv:2206.10506 [pdf, ps, other]

Title: Finite Groups With Two Irredundant Covers

Authors: Jonathan Cohen, Kyle Rosengartner

Comments: 10 pages

Subjects: Group Theory (math.GR)

[54]  arXiv:2206.10712 [pdf, ps, other]

Title: Generic length functions on countable groups

Authors: A. Jarnevic, D. Osin, K. Oyakawa

Comments: Minor corrections. To appear in the Journal of Algebra

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

[55]  arXiv:2206.10752 [pdf, ps, other]

Title: Minimal groups of given representation dimension

Authors: Jonathan Cohen

Comments: 18 pages

Subjects: Group Theory (math.GR)

[56]  arXiv:2206.11084 [pdf, other]

Title: Some examples of separable convex-cocompact subgroups

Authors: Mark Hagen, Alessandro Sisto

Comments: 14 pages, 4 figures. Revised following referee reports. To appear in Bull. Lond. Math. Soc

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

[57]  arXiv:2206.11101 [pdf, ps, other]

Title: Width of SL(n,O_S,I)

Authors: Pavel Gvozdevsky

Comments: 16 pages, no figures, submitted to Communications in Algebra

Journal-ref: Communications in algebra, Vol. 51.4 (2023), Pages 1581-1593

Subjects: Group Theory (math.GR)

[58]  arXiv:2206.11111 [pdf, other]

Title: Poisson boundary of group extensions

Authors: Anna Erschler, Joshua Frisch

Comments: 58 pages, 8 figures V2: abstract revised, some typos corrected, reference Schapira [53] added

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

[59]  arXiv:2206.11179 [pdf, ps, other]

Title: The AH conjecture for Cantor minimal dihedral systems

Authors: Eduardo Scarparo

Comments: 12 pages. Improved exposition. Accepted in Mathematica Scandinavica

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

[60]  arXiv:2206.11347 [pdf, other]

Title: Profinite rigidity of fibring

Authors: Sam Hughes, Dawid Kielak

Comments: 34 pages

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

[61]  arXiv:2206.11388 [pdf, ps, other]

Title: On the maximal number of elements pairwise generating the finite alternating group

Authors: Francesco Fumagalli, Martino Garonzi, Pietro Gheri

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

[62]  arXiv:2206.11711 [pdf, ps, other]

Title: Birkhoff decompositions for loop groups with coefficient algebras

Authors: Helge Glockner

Comments: 28 pages, LaTeX

Subjects: Group Theory (math.GR)

[63]  arXiv:2206.11716 [pdf, ps, other]

Title: Variations on average character degrees and solvability

Authors: Neda Ahanjideh, Zeinab Akhlaghi, Kamal Aziziheris

Subjects: Group Theory (math.GR)

[64]  arXiv:2206.11756 [pdf, ps, other]

Title: Membership Problems in Finite Groups

Authors: Markus Lohrey, Andreas Rosowski, Georg Zetzsche

Comments: A short version will appear in the proceedings of MFCS 2022

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

[65]  arXiv:2206.11885 [pdf, ps, other]

Title: A presentation of relative unitary Steinberg groups

Authors: Egor Voronetsky

Comments: Added section 8 (a presentation for "even" unitary groups, including symplectic and even orthogonal groups)

Subjects: Group Theory (math.GR)

[66]  arXiv:2206.11956 [pdf, ps, other]

Title: Word maps with constants on symmetric groups

Authors: Jakob Schneider, Andreas Thom

Comments: 14 pages, no figures

Subjects: Group Theory (math.GR)

[67]  arXiv:2206.11997 [pdf, ps, other]

Title: Prescribed graphon symmetries and flavors of rigidity

Authors: Alexandru Chirvasitu

Comments: 24 pages + references

Subjects: Group Theory (math.GR); Combinatorics (math.CO); Functional Analysis (math.FA); Probability (math.PR); Representation Theory (math.RT)

[68]  arXiv:2206.12182 [pdf, ps, other]

Title: On finitely generated normal subgroups of right-angled Artin groups and graph products of groups

Authors: Montserrat Casals-Ruiz, Jone Lopez de Gamiz Zearra

Comments: v2: we corrected a typo in the abstract and added a citation to the work of Antolin, Minasyan and Sisto that answers one of the questions

Subjects: Group Theory (math.GR)

[69]  arXiv:2206.12631 [pdf, ps, other]

Title: Type systems and maximal subgroups of Thompson's group $V$

Authors: James Belk, Collin Bleak, Martyn Quick, Rachel Skipper

Comments: v2: Some changes in exposition, upgraded the theorem on "uncountably many maximal subgroups" to "uncountably many non-isomorphic maximal subgroups"

Subjects: Group Theory (math.GR)

[70]  arXiv:2206.12758 [pdf, ps, other]

Title: Central Products and the Chermak-Delgado Lattice

Authors: William Cocke, Ryan McCulloch

Subjects: Group Theory (math.GR)

[71]  arXiv:2206.12775 [pdf, ps, other]

Title: On the second cohomology of the norm one group of a p-adic division algebra

Authors: Mikhail Ershov, Thomas Weigel

Comments: 67 pages. This is a paper by the first author with an appendix by both authors. To appear in the Michigan Mathematical Journal

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

[72]  arXiv:2206.12819 [pdf, ps, other]

Title: On the group of automorphisms of the semigroup $\boldsymbol{B}_{\mathbb{Z}}^{\mathscr{F}}$ with the family $\mathscr{F}$ of inductive nonempty subsets of $ω$

Authors: Oleg Gutik, Inna Pozdniakova

Comments: 13 pages. 1 figure

Subjects: Group Theory (math.GR)

[73]  arXiv:2206.12844 [pdf, ps, other]

Title: Schroder T-quasigroups

Authors: V. Shcherbacov

Comments: 13 pages

Subjects: Group Theory (math.GR)

[74]  arXiv:2206.13275 [pdf, ps, other]

Title: Cuts, flows and gradient conditions on harmonic functions

Authors: Antoine Gournay

Comments: 39 pages, updated references

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

[75]  arXiv:2206.13308 [pdf, ps, other]

Title: Isomorphism and non-isomorphism for interval groups of type D_n

Authors: Barbara Baumeister, Derek F. Holt, Georges Neaime, Sarah Rees

Subjects: Group Theory (math.GR)