Cohomological finiteness conditions for generalised Thompson groups

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• Brita Nucinkis (Southampton and Royal Holloway)
• Wednesday 10 October 2012, 16:30-17:30
• MR12.

If you have a question about this talk, please contact Christopher Brookes.

We define a family of groups that generalises Thompson’s groups T and G,and also those of Higman, Stein and Brin. For groups in this family we describe centralisers of finite subgroups and show, that for a given finite subgroup Q, there are finitely many conjugacy classes of finite subgroups isomorphic to Q.

We use this to show that our groups have a slightly weaker property to that of a group possessing a finite type model for the classifying space for proper actions if and only if they possess finite type models for the ordinary classifying space (joint work with C. Martinez-Perez and F. Matucci).

This talk is part of the Algebra and Representation Theory Seminar series.

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