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Hyperbolic extensions of groups

✍ Scribed by Lee Mosher


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
719 KB
Volume
110
Category
Article
ISSN
0022-4049

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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)^{