Morse theory and conjugacy classes of finite subgroups II

Noel Brady, Matt Clay, Pallavi Dani

Published 2009-05-01Version 1

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.