English

Isomorphism classification of Leary-Minasyan groups

Group Theory 2025-12-04 v2

Abstract

Recently, I. J. Leary and A. Minasyan studied the class of groups G(A,L)G(A,L) defined as commensurating HNN-extensions of Zn\mathbb{Z}^n. This class, containing the class of Baumslag-Solitar groups, also includes other groups with curious properties, such as being CAT(0) but not biautomatic. In this paper, we classify the groups G(A,L)G(A,L) up to isomorphism.

Keywords

Cite

@article{arxiv.2011.08143,
  title  = {Isomorphism classification of Leary-Minasyan groups},
  author = {Motiejus Valiunas},
  journal= {arXiv preprint arXiv:2011.08143},
  year   = {2025}
}

Comments

16 pages. Sections 4 and 5 rewritten using the internal characterisation of semidirect products, minor changes to other sections. To appear in J. Group Theory

R2 v1 2026-06-23T20:17:32.657Z