Boundaries of Baumslag-Solitar Groups
| Autor: | Guilbault, Craig R., Moran, Molly A., Tirel, Carrie J. |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Algebr. Geom. Topol. 19 (2019) 2077-2097 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.2140/agt.2019.19.2077 |
| Popis: | A $\mathcal{Z}$-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 $\mathcal{EZ}$-structure. The general questions of which groups admit $\mathcal{Z}$- or $\mathcal{EZ}$-structures remain open. In this paper we add to the current knowledge by showing that all Baumslag-Solitar groups admit $\mathcal{EZ}$-structures and all generalized Baumslag-Solitar groups admit $\mathcal{Z}$-structures. Comment: 18 pages, 3 figures |
| Databáze: | arXiv |
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