On the characterization of local fields by their absolute Galois groups
✍ Scribed by Moshe Jarden; Jürgen Ritter
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 739 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0022-314X
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📜 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
All Ree groups F q are characterized by their element orders. ᮊ 1999 Aca- 4 demic Press Ž . For any group G, denote by G the set of all element orders of G. e Ž . Clearly, G is a partially ordered set under the divisibility relation. e Ž . Ž Ž . . Given a finite resp., infinite group G, let h G be t