A simple construction of genus fields of abelian number fields
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- by Xian Ke Zhang PDF
- Proc. Amer. Math. Soc. 94 (1985), 393-395 Request permission
Abstract:
Simple elementary construction of the genus field ${K^ * }$ (= maximal abelian subfield of the Hilbert class field) of any abelian number field $K$ is given without using class field theory. When $K$ is of type $(l, \ldots ,l)$ with $l$ prime, the construction is more explicit. These results contain some former results and show that the main result in [8] has mistakes.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 94 (1985), 393-395
- MSC: Primary 11R20
- DOI: https://doi.org/10.1090/S0002-9939-1985-0787879-0
- MathSciNet review: 787879