Brauer's generalized decomposition numbers and universal deformation rings

Details Brauer's generalized decomposition numbers and universal deformation rings Brauer's generalized decomposition numbers and universal deformation rings

2012-03-31

arxiv.org/abs/1204.0071v1

Mathematics

Group Theory

25 pages, 18 figures

Scientific paper

We study the problem of lifting to local rings certain mod 2 representations V of finite groups G which belong to 2-modular tame blocks B of G having at least two isomorphism classes of simple modules. Green's lifting theorem determines when such a V may be lifted to the ring of infinite Witt vectors. We generalize this result by determining the full universal deformation ring of such V using Brauer's generalized decomposition numbers.

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