Rings determined by cyclic covers of groups
β Scribed by Cannon, G. Alan; Maxson, C.J.; Neuerburg, Kent M.
- Book ID
- 121267222
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 225 KB
- Volume
- 396
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
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
A finitely generated algebra A in a variety V V is called finitely determined in V V if there exists a finite V V-consistent set of equalities and inequalities in an alphabet containing the generating set of A, which, together with the identities of V V , yields all relations and non-relations of A.
Let G be a group covered by its left cosets a 1 G 1 , . . . , a k G k exactly m times. It is known that When all the G i are subnormal in G and k i=1 G i = H , we are able to determine the least value of k in terms of m, G, H . For r is the standard factorization of n. These extend some previous r