Journal article
Universal deformation rings and dihedral 2-groups
Journal of the London Mathematical Society, Vol.79(1), pp.225-237
2009
DOI: 10.1112/jlms/jdn071
Abstract
Let k be an algebraically closed field of characteristic 2, and let W be the ring of infinite Witt vectors over k . Suppose that D is a dihedral 2‐group. We prove that the universal deformation ring R ( D, V ) of an endo‐trivial kD ‐module V is always isomorphic to W [ℤ/2×ℤ/2]. As a consequence, we obtain a similar result for modules V with stable endomorphism ring k belonging to an arbitrary nilpotent block with defect group D . This confirms, for such V , conjectures on the ring structure of the universal deformation ring of V that had previously been shown for V belonging to cyclic blocks or to blocks with Klein four defect groups.
Details
- Title: Subtitle
- Universal deformation rings and dihedral 2-groups
- Creators
- Frauke M Bleher
- Resource Type
- Journal article
- Publication Details
- Journal of the London Mathematical Society, Vol.79(1), pp.225-237
- DOI
- 10.1112/jlms/jdn071
- ISSN
- 0024-6107
- eISSN
- 1469-7750
- Language
- English
- Date published
- 2009
- Academic Unit
- Mathematics
- Record Identifier
- 9983985805202771
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