A Fixed Point Theorem for Deformation Spaces of G-trees

Details A Fixed Point Theorem for Deformation Spaces of G-trees A Fixed Point Theorem for Deformation Spaces of G-trees

2005-02-11

arxiv.org/abs/math/0502248v2

Mathematics

Group Theory

5 pages shorter than original, Section 3 and Proposition 4.4 are now replaced by citing a Theorem of Dunwoody-Roller (Theorem

Scientific paper

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 result, known as Out(F_n) realization, was proved by Zimmermann, Culler and Khramtsov. This theorem is comparable to Nielsen realization as proved by Kerckhoff: for a closed surface with negative Euler characteristic, any finite subgroup of the mapping class group can be realized as a group of isometries of a hyperbolic surface. Both of these theorems have restatements in terms of fixed points of actions on spaces naturally associated to them. For a nonnegative integer n we define a class of groups (GVP(n)) and prove a similar statement for their outer automorphism groups.

Affiliated with

Also associated with

No associations

Rating

A Fixed Point Theorem for Deformation Spaces of G-trees does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Fixed Point Theorem for Deformation Spaces of G-trees, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Fixed Point Theorem for Deformation Spaces of G-trees will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-543712