Simple Modules for Groups with Abelian Sylow 2-Subgroups are Algebraic

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dc.creatorCraven, David A.
dc.date2008-01-17
dc.date2008-05-18
dc.date.accessioned2026-07-07T09:39:13Z
dc.date.available2026-07-07T09:39:13Z
dc.descriptionLet G be a finite group and let p be a prime. A module for G over a field of characteristic p is called algebraic if it satisfies a polynomial, with addition and multiplication given by direct sum and tensor product. In some sense, having this property is equivalent to the tensor structure being 'nice' for that module. In this paper we prove that if G is a group with abelian Sylow 2-subgroups, and p=2, then all simple modules for G are algebraic. We include the conjecture that this result holds for all abelian 2-blocks.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0801.2665
dc.identifierhttp://arxiv.org/abs/0801.2665
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161088
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject20C20
dc.titleSimple Modules for Groups with Abelian Sylow 2-Subgroups are Algebraic
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