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Galois groups of maximal 2-extensions

✍ Scribed by Yu. L. Ershov


Publisher
SP MAIK Nauka/Interperiodica
Year
1984
Tongue
English
Weight
681 KB
Volume
36
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES


Multiplicative Groups of Galois Extensio
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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)^{

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✍ John Jossey πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 187 KB

We classify quadratic, biquadratic and degree 4 cyclic 2-rational number fields. We also classify those quadratic number fields which are not 2-rational, but have a degree 2 extension, which is Galois over Q and is 2-rational. In this case we explicitly describe the Galois group of their maximal pro