On the construction of relative genus fields

Author:

Cornell Gary

Abstract

We show how to construct the relative genus field in many cases. This is then applied to constructing fields with interesting class groups.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference12 articles.

1. A. Brumer, On the Picard group of 𝑄^{𝑎𝑏} (to appear).

2. G. Cornell, Relative genus theory and the class group of 𝑙-extensions (in preparation).

3. \bysame, A note on the 𝑍̂-extension of 𝑄 (in preparation).

4. G. Frey, MR 50 #2126.

5. The genus field and genus group in finite number fields. I, II;Frölich, A.;Mathematika,1959

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