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On Number Fields with an Unramified Abelian Extension of Degree 2n+2

✍ Scribed by Y.Z. Lan

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
315 KB
Volume
44
Category
Article
ISSN
0022-314X

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✦ Synopsis

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 abelian extension of degree (2^{n+2}) for each member (L) of the family. 1993 Academic Press, Inc.

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