Isomorphism classification of Leary-Minasyan groups

Abstract

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.

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

References in corpus (1)

• Commensurating HNN-extensions: non-positive curvature and biautomaticity