Quadratic extensions with elementary abelian K2(O)
β Scribed by Ruth I Berger
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 577 KB
- Volume
- 142
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We determine all real quadratic number fields with 2-class field tower of length at most 1.
Let b be the principal p-block of a finite group G with an abelian defect group Ε½ . Ε½ Ε½ . Ε½ .. P and e a root of b in C P . If the inertial quotient E s N P, e rPΠΈC P is G G G Ε½ . an elementary abelian 2-group respectively, a dihedral group of order 8 and Ε½ . p / 3, then b and its Brauer correspond
Assume that \(K\) is either a totally real or a totally imaginary number field. Let \(F\) be the maximal unramified elementary abelian 2-extension of \(K\) and \([F: K]=2^{n}\). The purpose of this paper is to describe a family of cubic cyclic extension of \(K\). We have constructed an unramified ab