On groups with $S^2$ Bowditch boundary
| Autor: | Bena Tshishiku, Genevieve S. Walsh |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
010102 general mathematics Boundary (topology) 010103 numerical & computational mathematics Group Theory (math.GR) 01 natural sciences Mathematics::Geometric Topology symbols.namesake Mathematics::Group Theory symbols FOS: Mathematics Discrete Mathematics and Combinatorics Geometry and Topology 0101 mathematics Mathematics - Group Theory Poincaré duality Mathematics |
| Popis: | We prove that a relatively hyperbolic pair $(G,P)$ has Bowditch boundary a 2-sphere if and only if it is a 3-dimensional Poincare duality pair. We prove this by studying the relationship between the Bowditch and Dahmani boundaries of relatively hyperbolic groups. Final version that appears in Groups Geom. Dyn. Erratum to the published version attached |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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