Complexes of groups and geometric small cancellation over graphs of groups
Group Theory
2014-02-07 v2 Geometric Topology
Abstract
We explain and generalise a construction due to Gromov to realise geometric small cancellation groups over graphs of groups as fundamental groups of non-positively curved 2-dimensional complexes of groups. We then give conditions so that the hyperbolicity and some finiteness properties of the small cancellation quotient can be deduced from analogous properties for the local groups of the initial graph of groups.
Keywords
Cite
@article{arxiv.1306.6847,
title = {Complexes of groups and geometric small cancellation over graphs of groups},
author = {Alexandre Martin},
journal= {arXiv preprint arXiv:1306.6847},
year = {2014}
}
Comments
30 pages, 10 figures. revised version: new section on the hyperbolicity of the quotient group