Characters of the Sylow p-subgroups of the Chevalley groups D-4(p(n))

F Himstedt, T Le, Kay Magaard

Research output: Contribution to journalArticle

13 Citations (Scopus)


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 integer coefficients. (C) 2011 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)414-427
Number of pages14
JournalJournal of Algebra
Issue number1
Publication statusPublished - 1 Apr 2011


  • Mahler measure
  • Eigenvalues
  • Cyclotomic
  • Weighted graphs


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