Infinite primitive permutation groups and embeddings of profinite groups as open maximal subgroups

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• Simon Smith (LIncoln)
• Wednesday 18 October 2017, 16:30-17:30
• MR12.

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

In this talk I will summarise recent developments in the structure theory of infinite permutation groups. In particular I will present a recent result which describes the structure of all subdegree-finite primitive permutation groups. This class of groups includes, for example, all automorphism groups of locally finite primitive graphs.

I will also discuss two consequences of this result. The first concerns topological groups that are totally disconnected and locally compact and the second is a structural description of those profinite groups that can be embedded into a topological group as a maximal open subgroup.

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

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