Construction of 3-Hilbert class field of certain imaginary quadratic fields

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Construction of 3-Hilbert class field of certain imaginary quadratic fields

Jangheon Oh

Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 86, Number 1 (2010), 18-19.

Abstract

In this paper, we give an explicit description of 3-Hilbert class field of certain imaginary quadratic fields.

Primary Subjects: 11R23

Keywords: Hilbert class field; anti-cyclotomic extension; Kummer extension

Full-text: Open access

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pja/1262271519
Digital Object Identifier: doi:10.3792/pjaa.86.18
Zentralblatt MATH identifier: 05690869
Mathematical Reviews number (MathSciNet): MR2598820

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References

H. Cohen, Advanced topics in computational number theory, Springer, New York, 2000.

Mathematical Reviews (MathSciNet): MR1728313

Zentralblatt MATH: 0977.11056

J. Oh, On the first layer of anti-cyclotomic $\bold Z\sb p$-extension of imaginary quadratic fields, Proc. Japan Acad. Ser. A Math. Sci. 83 (2007), no. 3, 19--20.

Mathematical Reviews (MathSciNet): MR2317304

Digital Object Identifier: doi:10.3792/pjaa.83.19

Project Euclid: euclid.pja/1176126884

J. Oh, A note on the first layers of $\Bold Z\sb p$-extensions, Commun. Korean Math. Soc. 24 (2009), no. 1, 1--4.

Mathematical Reviews (MathSciNet): MR2488805

L. C. Washington, Introduction to cyclotomic fields, Springer, New York, 1982.

Mathematical Reviews (MathSciNet): MR718674

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