Byszewski, Jakub A universal deformation ring which is not a complete intersection ring. (English) Zbl 1134.20302 C. R., Math., Acad. Sci. Paris 343, No. 9, 565-568 (2006). Summary: F. M. Bleher and T. Chinburg [C. R., Math., Acad. Sci. Paris 342, No. 4, 229-232 (2006; Zbl 1087.11065)] recently used modular representation theory to produce an example of a linear representation of a finite group whose universal deformation ring is not a complete intersection ring. We prove this by using only elementary cohomological obstruction calculus. Cited in 4 Documents MSC: 20C15 Ordinary representations and characters 19A22 Frobenius induction, Burnside and representation rings 11F80 Galois representations Keywords:linear representations of finite groups; universal deformation rings; complete intersections Citations:Zbl 1087.11065 PDFBibTeX XMLCite \textit{J. Byszewski}, C. R., Math., Acad. Sci. Paris 343, No. 9, 565--568 (2006; Zbl 1134.20302) Full Text: DOI References: [1] Bleher, F. M.; Chinburg, T., Universal deformation rings need not be complete intersections, C. R. Acad. Sci. Paris, Ser. I, 342, 229-232 (2006) · Zbl 1087.11065 [2] Mazur, B., An introduction to the deformation theory of Galois representations, (Cornell, G.; Silverman, J. H.; Stevens, G., Modular Forms and Fermat’s Last Theorem (1997), Springer-Verlag), 243-312 · Zbl 0901.11015 [3] Schlessinger, M., Functors of Artin rings, Trans. Amer. Math. Soc., 130, 208-222 (1968) · Zbl 0167.49503 [4] Serre, J.-P., Local Fields, Graduate Texts in Mathematics, vol. 67 (1979), Springer-Verlag This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.