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CATEGORIES:Algebra Seminar
SUMMARY:Irreducible characters of Sylow p-subgroups of D_4
(p^k) - Tung Le\, University of Aberdeen
DTSTART:20100204T160000Z
DTEND:20100204T170000Z
UID:TALK263AT
URL:/talk/index/263
DESCRIPTION:Let _U_(_q_) be a Sylow _p_-subgroup of a Chevalle
y group _D__{4}(_q_)\, where _q_ is a powe
r of a prime _p_. We describe a construction of al
l complex irreducible characters of _U_(_q_) and o
btain a classification of these irreducible charac
ters via the root subgroups which are contained in
the center of these characters. Furthermore\, we
show that the multiplicities of the degrees of the
se irreducible\ncharacters are given by polynomial
s in _q_−1 with nonnegative coefficients.
LOCATION:Watson Building\, Lecture Room A
CONTACT:Simon Goodwin
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