Parabolic conjugacy in general linear groups

Details Parabolic conjugacy in general linear groups Parabolic conjugacy in general linear groups

2006-11-25

arxiv.org/abs/math/0611780v2

Mathematics

Group Theory

12 pages; to appear in Journal of Algebraic Combinatorics

Scientific paper

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 J. Alperin.

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