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CATEGORIES:Algebra Seminar
SUMMARY:On the character degree sets of Sn\, An and relate
d groups - Christine Bessenrodt\, Leibniz Universi
tät Hannover
DTSTART:20140715T143000Z
DTEND:20140715T153000Z
UID:TALK2653AT
URL:/talk/index/2653
DESCRIPTION:It is a long standing question due to Brauer to fi
nd out what the complex group algebra _*C*G_ tells
about the finite group _G_\, i.e.\, what can be d
educed on the structure of _G_ from the multiset o
f degrees of its irreducible characters. Concludin
g the work by Nguyen and Tong-Viet on quasisimple\
ngroups\, in joint work with them and Olsson\, the
double covers of the symmetric and alternating gr
oups were considered. For nonabelian simple groups
_G_\, Huppert conjectured that just the character
degree set (without multiplicities) determines G
up to an abelian factor. For alternating groups _A
_{n}_\, this was shown by Huppert up to _n
_=11\, and by Nguyen\, Tong-Viet and Wakefield for
_n_=12\,13. I will report on progress on this obt
ained in recent joint work with Tong-Viet and Jipi
ng Zhang.
LOCATION:Watson Building\, Lecture Room A
CONTACT:David Craven
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