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Separability properties of higher rank GBS groups

Jone Lopez de Gamiz Zearra, Sam Shepherd

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Source: Crossref

Published: Feb 13, 2025

DOI: 10.1112/blms.70024

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Source abstract

Abstract A rank 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 . 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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