Central extensions of Sn as Galois groups of regular extensions of Q(T)
β Scribed by Jack Sonn
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 280 KB
- Volume
- 140
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Suppose that \(K\) is Galois over \(k\) with group \(G\), and suppose that \(F_{1} \cdots F_{n}\) are maximal among the intermediate subfields. Then it is shown that if \(G=D_{p}, p\) an odd prime, then \(K^{*} / F_{1}^{*} \cdots F_{n}^{*}\) is a subgroup of \(F^{*} / k^{*} \cdot\left(F^{*}\right)^{
Let k be a Galois extension of Q with [k : Q]=d 2. The purpose of this paper is to give an upper bound for the least prime which does not split completely in k in terms of the degree d and the discriminant 2 k . Our estimate improves on the bound given by Lagarias et al. [3]. We note, however, that