Morse theory and conjugacy classes of finite subgroups
Group Theory
2007-09-25 v1
Abstract
We construct a CAT(0) group containing a finitely presented subgroup with infinitely many conjugacy classes of finite-order elements. Unlike previous examples (which were based on right-angled Artin groups) our ambient CAT(0) group does not contain any rank 3 free abelian subgroups. We also construct examples of groups of type F_n inside mapping class groups, Aut(F), and Out(F) which have infinitely many conjugacy classes of finite-order elements.
Cite
@article{arxiv.0709.3802,
title = {Morse theory and conjugacy classes of finite subgroups},
author = {Noel Brady and Matt Clay and Pallavi Dani},
journal= {arXiv preprint arXiv:0709.3802},
year = {2007}
}
Comments
10 pages, 4 figures