Universal deformation rings and dihedral defect groups

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dc.creatorBleher, Frauke M.
dc.date2006-07-22
dc.date2007-05-05
dc.date.accessioned2026-07-07T12:59:12Z
dc.date.available2026-07-07T12:59:12Z
dc.descriptionLet k be an algebraically closed field of characteristic 2, and let W be the ring of infinite Witt vectors over k. Suppose G is a finite group, and B is a block of kG with dihedral defect group D which is Morita equivalent to the principal 2-modular block of a finite simple group. We determine the universal deformation ring R(G,V) for every kG-module V which belongs to B and has stable endomorphism ring k. It follows that R(G,V) is always isomorphic to a subquotient ring of WD. Moreover, we obtain an infinite series of examples of universal deformation rings which are not complete intersections.
dc.description37 pages, 13 figures. Changed introduction, updated references
dc.identifierhttps://arxiv.org/abs/math/0607571
dc.identifierhttp://arxiv.org/abs/math/0607571
dc.identifierTrans. Amer. Math. Soc. 361 (2009), 3661-3705.
dc.identifierdoi:10.1090/S0002-9947-09-04543-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225502
dc.subjectRepresentation Theory
dc.subjectNumber Theory
dc.subject20C20; 20C15; 16G10
dc.titleUniversal deformation rings and dihedral defect groups
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