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Explicit construction of 2Sn Galois extensions

✍ Scribed by Teresa Crespo

Publisher: Elsevier Science
Year: 1990
Tongue: English
Weight: 296 KB
Volume: 129
Category: Article
ISSN: 0021-8693
DOI: 10.1016/0021-8693(90)90223-b

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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)^{