논문KCI 등재
Construction of the Hilbert class field of some imaginary quadratic fields
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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 $p.$
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 $p.$
참고문헌 (5)
- H.Cohen, "Advanced Topics in Computational Number Theory" (1999), Springer
- J.Minardi, "Iwasawa modules for <TEX>$\mathbb{Z}_p^d$<", TEX>-extensions of algebraic number fields, University of Washington, 1986
- J.Oh, "On the first layer of anti-cyclotomic <TEX>$\mathbb{Z}_p$<", TEX>-extension of imaginary quadratic fields, 2007, pp.83(3), 19~20
- J.Oh, "Construction of 3-Hilbert class field of certain imaginary quadratic fields", Proc. of The Japan Acad. Ser.A, 86(1), pp.18~19 (2010)[DOI]
- L.Washington, "Introduction to cyclotomic fields" (1982), Springer
관련 논문AI추천
On the anticyclotomic $\mathbb Z_{p}$-extension of an imaginary quadratic field오장헌강원경기수학회 · 한국수학논문집2015 · 제23권 제3호Construction of the first layer of anti-cyclotomic extension오장헌강원경기수학회 · 한국수학논문집2013 · 제21권 제3호Hilbert 2-class field towers of imaginary quadratic function fields정환엽대한수학회 · 대한수학회보2013 · 제50권 제3호Hilbert 2-class field towers of inert imaginary quadratic function fields정환엽한국수학교육학회 · 이론수학과 교직수학2013 · 제20권 제2호A note on the first layers of Z_{p}-extensionsJangheon Oh대한수학회 · 대한수학회논문집2009 · 제24권 제1호Form Class Groups Isomorphic to the Galois Groups over Ring Class Fields윤동성영남수학회 · East Asian Mathematical Journal2022 · 제38권 제5호
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