Parabolic conjugacy in general linear groups

Simon Goodwin, G Röhrle

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


Let q be a power of a prime and n a positive integer. Let P(q) be a parabolic subgroup of the finite general linear group GL (n) (q). We show that the number of P(q)-conjugacy classes in GL (n) (q) is, as a function of q, a polynomial in q with integer coefficients. This answers a question of Alperin in (Commun. Algebra 34(3): 889-891, 2006).
Original languageEnglish
Pages (from-to)99-111
Number of pages13
JournalJournal of Algebraic Combinatorics
Issue number1
Early online date15 Jun 2007
Publication statusPublished - 1 Feb 2008


  • parabolic subgroups
  • conjugacy classes
  • general linear group


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