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New Uniform Diameter Bounds in Pro-p Groups

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  • UserHenry Bradford, University of Oxford
  • ClockWednesday 29 October 2014, 16:30-17:30
  • HouseMR12.

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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Mondays (unless otherwise stated), 13.05 – 14.00 in the Kenneth Craik Room (Formerly the Craik Marshall Seminar Room), Craik Marshall Building, Downing Site Department of Engineering - LR6 Rooms SG1 & SG2, Alison Richard Building, 7 West Road, Cambridge, CB3 9DT

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