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Universal deformation rings and Klein four defect groups
Journal article   Open access   Peer reviewed

Universal deformation rings and Klein four defect groups

Frauke M Bleher
Transactions of the American Mathematical Society, Vol.354(10), pp.3893-3906
2002
DOI: 10.1090/S0002-9947-02-03072-6
url
https://doi.org/10.1090/S0002-9947-02-03072-6View
Published (Version of record) Open Access

Abstract

In this paper, the universal deformation rings of certain modular representations of a finite group are determined. The representations under consideration are those which are associated to blocks with Klein four defect groups and whose stable endomorphisms are given by scalars. It turns out that these universal deformation rings are always subquotient rings of the group ring of a Klein four group over the ring of Witt vectors.

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