Parabolic conjugacy in general linear groups

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dc.creatorGoodwin, Simon M.
dc.creatorRoehrle, Gerhard
dc.date2006-11-25
dc.date2007-03-21
dc.date.accessioned2026-07-07T07:52:51Z
dc.date.available2026-07-07T07:52:51Z
dc.descriptionLet 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.
dc.description12 pages; to appear in Journal of Algebraic Combinatorics
dc.identifierhttps://arxiv.org/abs/math/0611780
dc.identifierhttp://arxiv.org/abs/math/0611780
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126030
dc.subjectGroup Theory
dc.subjectCombinatorics
dc.subject20G40, 20E45
dc.titleParabolic conjugacy in general linear groups
dc.typetext

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