Morse theory and conjugacy classes of finite subgroups II
Group Theory
2009-05-04 v1
Abstract
We construct a hyperbolic group with a finitely presented subgroup, which has infinitely many conjugacy classes of finite-order elements. We also use a version of Morse theory with high dimensional horizontal cells and use handle cancellation arguments to produce other examples of subgroups of CAT(0) groups with infinitely many conjugacy classes of finite-order elements.
Keywords
Cite
@article{arxiv.0905.0095,
title = {Morse theory and conjugacy classes of finite subgroups II},
author = {Noel Brady and Matt Clay and Pallavi Dani},
journal= {arXiv preprint arXiv:0905.0095},
year = {2009}
}
Comments
18 pages, 7 figures