Parabolic conjugacy in general linear groups
Parabolic conjugacy in general linear groups
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 [1]
Goodwin, Simon M.
4c962131-c809-44bc-bc9a-a90290fba029
Roehrle, Gerhard
85f9d4eb-d522-4a95-bde9-300e8e3e7886
Goodwin, Simon M.
4c962131-c809-44bc-bc9a-a90290fba029
Roehrle, Gerhard
85f9d4eb-d522-4a95-bde9-300e8e3e7886
Goodwin, Simon M. and Roehrle, Gerhard
(2006)
Parabolic conjugacy in general linear groups.
Journal of Algebraic Combinatorics.
(In Press)
Abstract
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 [1]
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Submitted date: December 2006
Accepted/In Press date: December 2006
Identifiers
Local EPrints ID: 45777
URI: http://eprints.soton.ac.uk/id/eprint/45777
ISSN: 0925-9899
PURE UUID: e5d535c9-7759-497b-b871-d0f800203907
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Date deposited: 11 Apr 2007
Last modified: 11 Dec 2021 16:28
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Contributors
Author:
Simon M. Goodwin
Author:
Gerhard Roehrle
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