Let G be a group, A a G-module, and H a subgroup of G. The standard Ε½ . Ε½ . cohomological transfer map from H \* H, A to H \* G, A is defined in the case that H is of finite index in G and is given explicitly in each dimension by a formula involving a sum over a set of representives for H \_ G. In t
β¦ LIBER β¦
A transfer theorem for the cohomology of a finite group
β Scribed by D. L. Johnson
- Publisher
- Springer-Verlag
- Year
- 1969
- Tongue
- English
- Weight
- 319 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0020-9910
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## Abstract Let __R__ be a Gorenstein ring of finite Krull dimension and __t__ β __R__ a regular element. We show that if the quotient map __R__ β __R/Rt__ has a flat splitting then the transfer morphism of coherent Witt groups Tr~(__R/Rt__)/__R__~ : $ \widetilde W^{i} $(__R/Rt__) β $ \widetilde W^