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arXiv · 0911.2163

Characters of the Sylow p-Subgroups of the Chevalley Groups D_4(p^n)

Frank Himstedt·Tung Le·Kay Magaard
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Abstract

Let $U(q)$ be a Sylow $p$-subgroup of the Chevalley groups $D_4(q)$ 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.

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BibTeXRIS

Frank Himstedt, Tung Le, Kay Magaard. 2009-11-11. Characters of the Sylow p-Subgroups of the Chevalley Groups D_4(p^n). https://arxiv.org/abs/0911.2163

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