New refinements of the McKay conjecture for arbitrary finite groups

dc.creatorIsaacs, I. M.
dc.creatorNavarro, G.
dc.date2004-11-08
dc.date.accessioned2026-07-07T05:14:05Z
dc.date.available2026-07-07T05:14:05Z
dc.descriptionLet $G$ be an arbitrary finite group and fix a prime number $p$. The McKay conjecture asserts that $G$ and the normalizer in $G$ of a Sylow $p$-subgroup have equal numbers of irreducible characters with degrees not divisible by $p$. The Alperin-McKay conjecture is a version of this as applied to individual Brauer $p$-blocks of $G$. We offer evidence that perhaps much stronger forms of both of these conjectures are true.
dc.description12 pages published version
dc.identifierhttps://arxiv.org/abs/math/0411171
dc.identifierhttp://arxiv.org/abs/math/0411171
dc.identifierAnn. of Math. (2), Vol. 156 (2002), no. 1, 333--344
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73146
dc.subjectGroup Theory
dc.subject20C15
dc.titleNew refinements of the McKay conjecture for arbitrary finite groups
dc.typetext

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