Some relative stable categories are compactly generated

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dc.creatorGrime, Matthew
dc.creatorJorgensen, Peter
dc.date2008-08-22
dc.date.accessioned2026-07-07T09:58:00Z
dc.date.available2026-07-07T09:58:00Z
dc.descriptionLet G be a finite group. The stable module category of G has been applied extensively in group representation theory. In particular, it has been used to great effect that it is a triangulated category which is compactly generated. Let H be a subgroup of G. It is possible to define a stable module category of G relative to H. It too is a triangulated category, but no non-trivial examples have been known where this relative stable category was compactly generated. We show here that the relative stable category is compactly generated if the group algebra of H has finite representation type. In characteristic p, this is equivalent to the Sylow p-subgroups of H being cyclic.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/0808.3119
dc.identifierhttp://arxiv.org/abs/0808.3119
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167555
dc.subjectGroup Theory
dc.subjectRepresentation Theory
dc.subject20C05, 20C20, 20J05
dc.titleSome relative stable categories are compactly generated
dc.typetext

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