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):
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