Journal article
Universal deformation rings and generalized quaternion defect groups
Advances in mathematics (New York. 1965), Vol.225(3), pp.1499-1522
09/05/2009
DOI: 10.1016/j.aim.2010.04.004
Abstract
Adv. Math. 225 (2010), 1499-1522 We determine the universal deformation ring R(G,V) of certain mod 2 representations V of a finite group G which belong to a 2-modular block of G whose defect groups are isomorphic to a generalized quaternion group D. We show that for these V, a question raised by the author and Chinburg concerning the relation of R(G,V) to D has an affirmative answer. We also show that R(G,V) is a complete intersection even though R(G/N,V) need not be for certain normal subgroups N of G which act trivially on V.
Details
- Title: Subtitle
- Universal deformation rings and generalized quaternion defect groups
- Creators
- Frauke M Bleher
- Resource Type
- Journal article
- Publication Details
- Advances in mathematics (New York. 1965), Vol.225(3), pp.1499-1522
- DOI
- 10.1016/j.aim.2010.04.004
- ISSN
- 1090-2082
- eISSN
- 1090-2082
- Language
- English
- Date published
- 09/05/2009
- Academic Unit
- Mathematics
- Record Identifier
- 9983985709002771
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