Large universal deformation rings

Author:

Bleher Frauke

Abstract

We provide a series of examples of finite groups G G and mod p p representations V V of G G whose stable endomorphisms are all given by scalars such that the universal deformation ring R ( G , V ) R(G,V) of V V is large in the sense that R ( G , V ) / p R ( G , V ) R(G,V)/pR(G,V) is isomorphic to a power series algebra in one variable.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference10 articles.

1. Universal deformation rings and generalized quaternion defect groups;Bleher, Frauke M.;Adv. Math.,2010

2. Universal deformation rings and cyclic blocks;Bleher, Frauke M.;Math. Ann.,2000

3. Inverse problems for deformation rings;Bleher, Frauke M.;Trans. Amer. Math. Soc.,2013

4. Universal deformation rings and dihedral blocks with two simple modules;Bleher, Frauke M.;J. Algebra,2011

5. Universal deformation rings of modules over Frobenius algebras;Bleher, Frauke M.;J. Algebra,2012

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