Title

Morse theory and conjugacy classes of finite subgroups

Document Type

Article

Publication Date

8-1-2008

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 Fn inside mapping class groups, Aut(double-struck Fk), and Out(double-struck Fk) which have infinitely many conjugacy classes of finite-order elements. © 2008 Springer Science+Business Media B.V.

Publication Source (Journal or Book title)

Geometriae Dedicata

First Page

15

Last Page

22

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