Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Universal deformation rings and Klein four defect groups


Author: Frauke M. Bleher
Journal: Trans. Amer. Math. Soc. 354 (2002), 3893-3906
MSC (2000): Primary 20C05; Secondary 16G10
Published electronically: June 5, 2002
MathSciNet review: 1926858
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 20C05, 16G10

Retrieve articles in all journals with MSC (2000): 20C05, 16G10


Additional Information

Frauke M. Bleher
Affiliation: Department of Mathematics, University of Iowa, Iowa City, Iowa 52242-1419
Email: fbleher@math.uiowa.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-02-03072-6
PII: S 0002-9947(02)03072-6
Keywords: Universal deformation rings, Klein four groups, tame blocks
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.
Article copyright: © Copyright 2002 American Mathematical Society