Ideal class groups of Witt rings
β Scribed by Robert W Fitzgerald
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 772 KB
- Volume
- 124
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Starting from a base ficld with properties similar to those of the rational numbers, the structure of the ideal class group of a biquadratic dicyclic extension is examined. Class number relations and structural connections between the ideal class groups of the intermediate fields allow the determina
Let K be a field of characteristic different from 2. In the algebraic theory of Ε½ . quadratic forms, one studies the Witt ring W K of equivalence classes of non-den Ε½ . generate quadratic forms. The Witt ring has a filtration given by the powers I K Ε½ . n Ε½ . of the fundamental ideal I K of even-dim
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