Universal deformation rings and cyclic blocks |
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| Authors: | Frauke M. Bleher Ted Chinburg |
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| Affiliation: | (1) Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104–6395, USA (e-mail: frauke@math.upenn.edu; ted@math.upenn.edu), US |
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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. Received July 19, 1999 / Revised May 13, 2000 / Published online October 30, 2000 |
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| Keywords: | Mathematics Subject Classification (1991): 20C05 11R32 13D10 16G10 |
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