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Multiplicative Groups of Fields

โœ Scribed by May, W.


Book ID
120102521
Publisher
Oxford University Press
Year
1972
Tongue
English
Weight
305 KB
Volume
s3-24
Category
Article
ISSN
0024-6115

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๐Ÿ“œ SIMILAR VOLUMES


Multiplicative Groups of Galois Extensio
โœ W.J. Haboush ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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)^{

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