Hall's Universal Group
 
 
Description:  We see what happens to the representation theory of a finite group "in the limit", i.e. as the group gets arbitrarily large. Technically, this is done via Hall's Universal Group U. This is a group which contains a copy of every finite group in such a way that isomorphic finite subgroups are conjugate in U. We calculate explicitly the "character ring" of U. It is a commutative ring which has a system of generators e_G, as G runs over all finite groups.
Area(s):
Date:  2007-01-11
Start Time:   14:45
Speaker:  Stephen Donkin (University of York)
Place:  2.5
Research Groups: -Algebra and Combinatorics
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