Large universal deformation rings
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- by Frauke M. Bleher PDF
- Proc. Amer. Math. Soc. 142 (2014), 3039-3047
Abstract:
We provide a series of examples of finite groups $G$ and mod $p$ representations $V$ of $G$ whose stable endomorphisms are all given by scalars such that the universal deformation ring $R(G,V)$ of $V$ is large in the sense that $R(G,V)/pR(G,V)$ is isomorphic to a power series algebra in one variable.References
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Additional Information
- Frauke M. Bleher
- Affiliation: Department of Mathematics, University of Iowa, Iowa City, Iowa 52242-1419
- Email: frauke-bleher@uiowa.edu
- Received by editor(s): April 14, 2012
- Received by editor(s) in revised form: October 4, 2012
- Published electronically: May 30, 2014
- Additional Notes: The author was supported in part by NSA Grant H98230-11-1-0131.
- Communicated by: Birge Huisgen-Zimmermann
- © Copyright 2014 Frauke M. Bleher
- Journal: Proc. Amer. Math. Soc. 142 (2014), 3039-3047
- MSC (2010): Primary 20C20; Secondary 20C05, 16G10, 16G20
- DOI: https://doi.org/10.1090/S0002-9939-2014-12104-6
- MathSciNet review: 3223360