Isomorphism classification of Leary-Minasyan groups

Fuente: arXiv
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Main Author: Valiunas, Motiejus
Format: Preprint
Published: 2020
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author Valiunas, Motiejus
author_facet Valiunas, Motiejus
contents Recently, I. J. Leary and A. Minasyan studied the class of groups $G(A,L)$ defined as commensurating HNN-extensions of $\mathbb{Z}^n$. 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 $G(A,L)$ up to isomorphism.
format Preprint
id arxiv_https___arxiv_org_abs_2011_08143
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Isomorphism classification of Leary-Minasyan groups
Valiunas, Motiejus
Group Theory
20E06, 20F65
Recently, I. J. Leary and A. Minasyan studied the class of groups $G(A,L)$ defined as commensurating HNN-extensions of $\mathbb{Z}^n$. 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 $G(A,L)$ up to isomorphism.
title Isomorphism classification of Leary-Minasyan groups
topic Group Theory
20E06, 20F65
url https://arxiv.org/abs/2011.08143