논문KCI 등재
A note on the first layers of Z_{p}-extensions
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In this paper we explicitly compute a Minkowski unit of a real abelian field and give a criterion when the first layer of anti-cyclotomic Z_{3}-extension of an imaginary quadratic field is unramified everywhere.
Abstract
In this paper we explicitly compute a Minkowski unit of a real abelian field and give a criterion when the first layer of anti-cyclotomic Z_{3}-extension of an imaginary quadratic field is unramified everywhere.
참고문헌 (5)
- J. Minardi, "Iwasawa modules for Zdp -extensions of algebraic number fields", 박사, pp.1986
- J. Oh, "Defining Polynomial of the first layer of anti-cyclotomic Z3-extension of imaginary quadratic fields of class number 1", Proc. Japan Acad. Ser. A Math. Sci., 80(3), pp.18~19 (2004)
- J. Oh, "The first layer of Z22-extension over imaginary quadratic fields", Proc. Japan Acad. Ser. A Math. Sci., 76(9), pp.132~134 (2000)
- J. Oh, "On the first layer of anti-cyclotomic Zp-extension of imaginary quadratic fields", Proc. Japan Acad. Ser. A Math. Sci., 83(3), pp.19~20 (2007)
- L. Washington, "Introduction to Cyclotomic Fields", Graduate Text in Math., 83 (1982), Springer-Verlag
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