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math.GR2007
Morse theory and conjugacy classes of finite subgroups
Noel Brady, Matt Clay, Pallavi Dani
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…
math.GR2007
Deformation spaces of G-trees and automorphisms of Baumslag-Solitar groups
Matt Clay
We construct an invariant deformation retract of a deformation space of G-trees. We show that this complex is finite dimensional in certain cases and provide an example that is not…
math.GR2005
A Fixed Point Theorem for Deformation Spaces of G-trees
Matt Clay
For a finitely generated free group F_n, of rank at least 2, any finite subgroup of Out(F_n) can be realized as a group of automorphisms of a graph with fundamental group F_n. This…