Galois groups of maximal 2-extensions
β 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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π SIMILAR VOLUMES
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)^{
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