Hyperbolic groups have flat-rank at most 1
Group Theory
2009-11-24 v1
Abstract
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.
Cite
@article{arxiv.0911.4461,
title = {Hyperbolic groups have flat-rank at most 1},
author = {Udo Baumgartner and Rögnvaldur G. Möller and George A. Willis},
journal= {arXiv preprint arXiv:0911.4461},
year = {2009}
}
Comments
19 pages, submitted