New Uniform Diameter Bounds in Pro-p Groups

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• Henry Bradford, University of Oxford
• Wednesday 29 October 2014, 16:30-17:30
• MR12.

If you have a question about this talk, please contact David Stewart.

We give new upper bounds for the diameters of finite groups arising as images of certain profinite groups, including p-adic analytic groups and the Nottingham group. Our bounds do not depend on a choice of generating set. Our method exploits the commutator structure of the profinite groups we study, in a manner reminiscent of the Solovay-Kitaev procedure from quantum computation.

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

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