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Central extensions as Galois groups

✍ Scribed by Helmut Völklein


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
548 KB
Volume
146
Category
Article
ISSN
0021-8693

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📜 SIMILAR VOLUMES


Multiplicative Groups of Galois Extensio
✍ W.J. Haboush 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 544 KB

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)^{