- Title
- Hyperbolic groups have flat-rank at most 1
- Creator
- Baumgartner, Udo; Möller, Rögnvaldur; Willis, George A.
- Relation
- ARC.DP0556017 & ARC. DP0984342 & ARC. LX0349209 http://purl.org/au-research/grants/arc/DP0984342
- Relation
- Israel Journal of Mathematics Vol. 190, Issue 1, p. 365-388
- Publisher Link
- http://dx.doi.org/10.1007/s11856-011-0191-5
- Publisher
- Magnes Press
- Resource Type
- journal article
- Date
- 2012
- Description
- The flat-rank of a totally disconnected, locally compact group G is an integer, which is an invariant of G as a topological group. We generalize the concept of hyperbolic groups to the topological context and show that a totally disconnected, locally compact, hyperbolic group has flat-rank at most 1. It follows that the simple totally disconnected locally compact groups constructed by Paulin and Haglund have flat-rank at most 1.
- Subject
- hyperbolic group; locally compact group; geometric group theory
- Identifier
- http://hdl.handle.net/1959.13/1057080
- Identifier
- uon:16130
- Identifier
- ISSN:0021-2172
- Language
- eng
- Reviewed
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