Topology Seminar: Lars Louder
Topic
Strong accessibility of torsion free (relatively) hyperbolic groups
Speakers
Details
Abstract
Let G be a finitely presented group. If the process of iteratively passing to vertex groups in a maximal graph of groups decomposition of G over finite subgroups, and then to vertex groups in maximal decompositions of the factors over two-ended subgroups, terminates, we say that G is strongly accessible. Delzant and Potyagailo argue that this process always terminates for certain types of splittings of finitely presented groups, in particular hyperbolic groups without two-torsion. I will give an example showing that their proof cannot be correct, and sketch a new proof that (relatively) hyperbolic groups without two-torsion are strongly accessible. This is joint work with N. Touikan.
Additional Information
This is a Past Event
Event Type
Scientific, Seminar
Date
March 28, 2012
Time
-
Location