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Applications of Pink's theorem to the study of linear pro-p groups over local fields of positive characteristic

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  • UserYiftach Barnea (Royal Holloway)
  • ClockFriday 22 March 2013, 15:30-16:30
  • HouseMR12.

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

Third talk of a South England profinite groups meeting

R. Pink revolutionized our understanding of linear pro-p groups over local fields of positive characteristic by showing that they are close to open compact subgroups of algebraic groups. I will present two applications of Pink’s theorem: (i) a non-abelian free pro-p group is not linear over a local field and (ii) if G is an open compact subgroup of “nice enough” semisimple algebraic groups, then two random elements generate an open subgroup with probability 1. These are joint results with M. Larsen. Only superficial knowledge of algebraic groups is required for this talk.

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

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