Unramified extensions of some cyclic quartic fields
DOI:
https://doi.org/10.5269/bspm.v36i1.31299Palavras-chave:
Unramified extensions, Hilbert $2$-Class FieldResumo
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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2018-01-01
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