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SUMMARY:Applications of Pink's theorem to the study of linear pro-p groups
  over local fields of positive characteristic - Yiftach Barnea (Royal Holl
 oway)
DTSTART:20130322T153000Z
DTEND:20130322T163000Z
UID:TALK43736@talks.cam.ac.uk
CONTACT:Christopher Brookes
DESCRIPTION:R. Pink revolutionized our understanding of linear pro-p group
 s over local fields of positive characteristic by showing that they are cl
 ose to open compact subgroups of algebraic groups. I will present two appl
 ications of Pink's theorem: (i) a non-abelian free pro-p group is not line
 ar over a local field and (ii) if G is an open compact subgroup of "nice e
 nough" 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.
LOCATION:MR12
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