On unramified Galois extensions over maximum abelian extensions of algebraic number fields
β Scribed by Mamoru Asada
- Publisher
- Springer
- Year
- 1985
- Tongue
- English
- Weight
- 602 KB
- Volume
- 270
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
Let p be an odd prime number and k a finite extension of Q p . Let K/k be a totally ramified elementary abelian Kummer extension of degree p 2 with Galois group G. We determine the isomorphism class of the ring of integers in K as an oG-module under some assumptions. The obtained results imply there
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