Splittings over Poincare duality groups and the Almost Stability Theorem

John Walker (Glasgow University)

Wednesday 18th November, 2009 16:00-17:00 Mathematics Building, Room 204


In the case of a finitely generated group G of cohomological dimension n, Kropholler has obtained splittings over certain so-called near-normal Poincare duality subgroups of dimension n-1. The final step in the proof is the construction of a $G$-tree using techniques introduced by Dunwoody for finitely generated groups. We discuss a generalisation of the Dicks-Dunwoody Almost Stability Theorem and how this may be used to complete Kropholler's original argument obtaining analagous results in certain cases where G is infinitely generated.

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