Abstract.
In this paper we determine the universal deformation rings of certain modular representations of finite groups which belong to cyclic blocks. The representations we consider are those for which every endomorphism is stably equivalent to multiplication by a scalar. We then apply our results to study the counterparts for universal deformation rings of conjectures about embedding problems in Galois theory.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received July 19, 1999 / Revised May 13, 2000 / Published online October 30, 2000
Rights and permissions
About this article
Cite this article
Bleher, F., Chinburg, T. Universal deformation rings and cyclic blocks. Math Ann 318, 805–836 (2000). https://doi.org/10.1007/s002080000148
Issue Date:
DOI: https://doi.org/10.1007/s002080000148