University of Birmingham > Talks@bham > Birmingham and Warwick Algebra Seminar  > Irreducible characters of Sylow p-subgroups of D_4(p^k)

Irreducible characters of Sylow p-subgroups of D_4(p^k)

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Let U(q) be a Sylow p-subgroup of a Chevalley group D4(q), where q is a power of a prime p. We describe a construction of all complex irreducible characters of U(q) and obtain a classification of these irreducible characters via the root subgroups which are contained in the center of these characters. Furthermore, we show that the multiplicities of the degrees of these irreducible characters are given by polynomials in _q_−1 with nonnegative coefficients.

This talk is part of the Birmingham and Warwick Algebra Seminar series.

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