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arXiv · 2309.14527

Separability properties of higher-rank GBS groups

Jone Lopez de Gamiz Zearra·Sam Shepherd
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Abstract

A rank $n$ generalized Baumslag-Solitar group is a group that splits as a finite graph of groups such that all vertex and edge groups are isomorphic to $\mathbb{Z}^n$. In this paper we classify these groups in terms of their separability properties. Specifically, we determine when they are residually finite, subgroup separable and cyclic subgroup separable.

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Jone Lopez de Gamiz Zearra, Sam Shepherd. 2023-09-25. Separability properties of higher-rank GBS groups. https://arxiv.org/abs/2309.14527

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