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2019 Boundaries of Baumslag–Solitar groups
Craig R Guilbault, Molly A Moran, Carrie J Tirel
Algebr. Geom. Topol. 19(4): 2077-2097 (2019). DOI: 10.2140/agt.2019.19.2077

Abstract

A Z–structure on a group G was introduced by Bestvina in order to extend the notion of a group boundary beyond the realm of CAT(0) and hyperbolic groups. A refinement of this notion, introduced by Farrell and Lafont, includes a G–equivariance requirement, and is known as an Z–structure. The general questions of which groups admit Z– or Z–structures remain open. Here we show that all Baumslag–Solitar groups admit Z–structures and all generalized Baumslag–Solitar groups admit Z–structures.

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Craig R Guilbault. Molly A Moran. Carrie J Tirel. "Boundaries of Baumslag–Solitar groups." Algebr. Geom. Topol. 19 (4) 2077 - 2097, 2019. https://doi.org/10.2140/agt.2019.19.2077

Information

Received: 23 August 2018; Revised: 28 November 2018; Accepted: 20 December 2018; Published: 2019
First available in Project Euclid: 22 August 2019

zbMATH: 07121521
MathSciNet: MR3995025
Digital Object Identifier: 10.2140/agt.2019.19.2077

Subjects:
Primary: 20F65, 57M07, 57M60

Rights: Copyright © 2019 Mathematical Sciences Publishers

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