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A Remark on Fields with Unramified Compositum

โœ Scribed by Smith, J. H.

Book ID
120097119
Publisher
Oxford University Press
Year
1969
Tongue
English
Weight
59 KB
Volume
s2-1
Category
Article
ISSN
0024-6107

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Assume that \(K\) is either a totally real or a totally imaginary number field. Let \(F\) be the maximal unramified elementary abelian 2-extension of \(K\) and \([F: K]=2^{n}\). The purpose of this paper is to describe a family of cubic cyclic extension of \(K\). We have constructed an unramified ab