Morse theory and conjugacy classes of finite subgroups II

Noel Brady; Matt Clay; Pallavi Dani

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arXiv · 0905.0095

Morse theory and conjugacy classes of finite subgroups II

Noel Brady·Matt Clay·Pallavi Dani

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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.

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BibTeX RIS

Noel Brady, Matt Clay, Pallavi Dani. 2009-05-01. Morse theory and conjugacy classes of finite subgroups II. https://arxiv.org/abs/0905.0095

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