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CATEGORIES:Algebra Seminar
SUMMARY:Normal subgroups of compact groups - Nikolay Nikol
ov\, University of Oxford
DTSTART:20121011T150000Z
DTEND:20121011T160000Z
UID:TALK2562AT
URL:/talk/index/2562
DESCRIPTION:Among compact Hausdorff groups _G_ whose maximal p
rofinite quotient is finitely generated\, we chara
cterize those that possess a proper dense normal s
ubgroup. This relies on asymptotic results on the
fixed points of automorphisms\nof finite simple gr
oups and Lie groups. We also prove that the\nabstr
act commutator subgroup [_H_\,_G_] is closed for e
very closed normal subgroup _H_ of _G_.\n\nJoint w
ork with Dan Segal\, Oxford.
LOCATION:Watson Building\, Lecture Room C
CONTACT:David Craven
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