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Universal deformation rings and cyclic blocks
Journal article   Peer reviewed

Universal deformation rings and cyclic blocks

Frauke M Bleher and Ted Chinburg
Mathematische Annalen, Vol.318(4), pp.805-836
12/2000
DOI: 10.1007/s002080000148

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Abstract

In this paper we determine the universal deformation rings of certain modular representations of finite groups which belong to cyclic blocks. The representations we consider are those for which every endomorphism is stably equivalent to multiplication by a scalar. We then apply our results to study the counterparts for universal deformation rings of conjectures about embedding problems in Galois theory.
Mathematics Subject Classification : 20C05, 11R32, 13D10, 16G10

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