✦ LIBER ✦

Multiplicative extensions of multiplicative functionals in Banach algebras

✍ Scribed by George Maltese

Book ID: 112498768
Publisher: Springer
Year: 1970
Tongue: English
Weight: 180 KB
Volume: 21
Category: Article
ISSN: 0003-889X
DOI: 10.1007/bf01220955

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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)^{