Infinite Smith groups and Kropholler's hierarchy

Ian Leary (Ohio State University)

Monday 16th February, 2009 16:00-17:00 Mathematics Building, room 204


In the 1930's, P A Smith proved very strong fixed-point theorems for actions of finite groups of prime power order. We construct an infinite group with similar properties. I will explain some aspects of the construction of our group. If time permits, I will explain how the same construction can be used to shed new light on Kropholler's hierarchy of groups. (Joint work with G Arzhantseva, M Bridson, T Januszkiewicz, P Kropholler, A Minasyan and J Swiatkowski.)

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