Universal deformation rings and Klein four defect groups
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- by Frauke M. Bleher PDF
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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.References
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Additional Information
- Frauke M. Bleher
- Affiliation: Department of Mathematics, University of Iowa, Iowa City, Iowa 52242-1419
- Email: fbleher@math.uiowa.edu
- Received by editor(s): October 23, 2001
- Received by editor(s) in revised form: April 2, 2002
- Published electronically: June 5, 2002
- Additional Notes: The author was supported in part by NSA Young Investigator Grant MDA904-01-1-0050.
- © Copyright 2002 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 354 (2002), 3893-3906
- MSC (2000): Primary 20C05; Secondary 16G10
- DOI: https://doi.org/10.1090/S0002-9947-02-03072-6
- MathSciNet review: 1926858