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Boundaries of
Baumslag–Solitar groups
Craig R Guilbault, Molly A Moran and Carrie J Tirel |
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Algebraic & Geometric Topology 19 (2019) 2077–2097
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Abstract |
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A –structure on a group 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 –equivariance requirement, and is known as an –structure. The general questions of which groups admit – or –structures remain open. Here we show that all Baumslag–Solitar groups admit –structures and all generalized Baumslag–Solitar groups admit –structures. |
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Keywords
$\mathcal{Z}$–structure, $\mathcal{Z}$–boundary, group
boundaries, Baumslag–Solitar groups, group boundary
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Mathematical Subject Classification 2010
Primary: 20F65, 57M07, 57M60
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References |
Publication
Received: 23 August 2018
Revised: 28 November 2018
Accepted: 20 December 2018
Published: 16 August 2019
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Authors |
| Craig R Guilbault | |
| Department of Mathematical
Sciences University of Wisconsin - Milwaukee Milwaukee, WI United States |
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| Molly A Moran | |
| Department of Mathematics The Colorado College Colorado Springs Colorado United States |
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| Carrie J Tirel | |
| Department of Mathematics University of Wisconsin - Fox Valley Menasha, WI United States |
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