Let F denote a field of characteristic different from two. In this paper we describe the mod 2 cohomology of a Galois group G F (called the W-group of F) which is known to essentially characterize the Witt ring WF of anisotropic quadratic modules over F. We show that H\*(G F , F 2 ) contains the mod
On the Galois cohomology of dedekind rings
β Scribed by Donald L McQuillan
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 436 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0022-314X
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π SIMILAR VOLUMES
We prove that two arithmetically significant extensions of a field F coincide if w x and only if the Witt ring WF is a group ring β«ήβ¬rn G . Furthermore, working modulo squares with Galois groups which are 2-groups, we establish a theorem analogous to Hilbert's Theorem 90 and show that an identity li
Let G be a finite group acting linearly on a vector space V over a field K of positive characteristic p and let P β€ G be a Sylow p-subgroup. Ellingsrud and Skjelbred [Compositio Math. 41 (1980), 233-244] proved the lower bound for the depth of the invariant ring, with equality if G is a cyclic p-gr