Journal article
Universal deformation rings and dihedral defect groups
Transactions of the American Mathematical Society, Vol.361(7), pp.3661-3705
2009
DOI: 10.1090/S0002-9947-09-04543-7
Abstract
Let 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.
Details
- Title: Subtitle
- Universal deformation rings and dihedral defect groups
- Creators
- Frauke M Bleher
- Resource Type
- Journal article
- Publication Details
- Transactions of the American Mathematical Society, Vol.361(7), pp.3661-3705
- DOI
- 10.1090/S0002-9947-09-04543-7
- ISSN
- 0002-9947
- eISSN
- 1088-6850
- Language
- English
- Date published
- 2009
- Academic Unit
- Mathematics
- Record Identifier
- 9983985878402771
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