Korean J. Math. Vol. 26 No. 2 (2018) pp.293-297
DOI: https://doi.org/10.11568/kjm.2018.26.2.293

Construction of the Hilbert class field of some imaginary quadratic fields

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Published: Jun 30, 2018
Keywords:
Iwasawa theory, Hilbert class field, Kummer extension.
Mathematics Subject Classification:
11R23.

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Jangheon Oh
Faculty of Mathematics and Statistics Sejong University Seoul 143-747, Korea

Abstract

In the paper [4], we constructed $3$-part of the Hilbert class field of imaginary quadratic fields whose class number is divisible exactly by $3.$ In this paper, we extend the result for any odd prime $p.$


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References

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