Unramified extensions of some cyclic quartic fields
Keywords:
Unramified extensions, Hilbert $2$-Class Field
Abstract
In this paper we determine the fourteen unramified extensions for some cyclic quartic fields $K$ whose $2$-class group $C_{K,2}$ is isomorphic to ${\mathbb{Z}}/{2{\mathbb{Z}}}\times {\mathbb{Z}}/{2{\mathbb{Z}}} \times {\mathbb{Z}}/{2{\mathbb{Z}}}$ and to characterize the generators of $C_{K,2}$.Downloads
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Published
2018-01-01
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Articles
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