Proceedings of the Japan Academy, Series A, Mathematical Sciences

Ray class field of prime conductor of a real quadratic field

Yoshiyuki Kitaoka

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Let $F$ be a real quadratic field and $\mathfrak{p}$ a prime ideal of degree 2. We construct a quadratic extension of the Hilbert class field in the ray class field of conductor $\mathfrak{p}$.

Article information

Proc. Japan Acad. Ser. A Math. Sci., Volume 80, Number 6 (2004), 83-85.

First available in Project Euclid: 13 May 2005

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Zentralblatt MATH identifier

Primary: 11R37: Class field theory

Algebraic number field unit distribution


Kitaoka, Yoshiyuki. Ray class field of prime conductor of a real quadratic field. Proc. Japan Acad. Ser. A Math. Sci. 80 (2004), no. 6, 83--85. doi:10.3792/pjaa.80.83.

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