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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[4] J.Oh, Construction of 3-Hilbert class field of certain imaginary quadratic fields, Proc. of The Japan Acad. Ser.A 86 (2010) (1), 18–19. Google Scholar

[5] L.Washington, Introduction to cyclotomic fields, Springer, New York, 1982. Google Scholar