논문KCI 등재
On the anticyclotomic $\mathbb Z_{p}$-extension of an imaginary quadratic field
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
We prove that if a subfield of the Hilbert class field of an imaginary quadratic field $k$ meets the anticyclotomic ${\mathbb Z}_{p}$-extension $k_{\infty}^{a}$ of $k$, then it is contained in $k_{\infty}^{a}$ . And we give an example of an imaginay quadratic field $k$ with $\lambda_{3}(k_{\infty}^{a}) \geq 8.$
Abstract
We prove that if a subfield of the Hilbert class field of an imaginary quadratic field $k$ meets the anticyclotomic ${\mathbb Z}_{p}$-extension $k_{\infty}^{a}$ of $k$, then it is contained in $k_{\infty}^{a}$ . And we give an example of an imaginay quadratic field $k$ with $\lambda_{3}(k_{\infty}^{a}) \geq 8.$
참고문헌 (6)
- S.Fujii, "On a bound of and the vanishing of of Zp-extensions of an imaginary quadratic eld", J.Math.Soc.Japan, 65(1), pp.277~298 (2013)
- J.Minardi, "Iwasawa modules for Zdp -extensions of algebraic number elds", 박사, pp.1986
- J.Oh, "On the rst layer of anti-cyclotomic Zp-extension over imaginary qua-dratic elds", Proc. Japan Acad. Ser.A Math.Sci, 83(3), pp.19~20 (2007)
- Jangheon Oh, "A note on the first layers of Z_{p}-extensions", 대한수학회논문집, 24(1), pp.1~4 (2009), 대한수학회
- J.Oh, "Construction of 3-Hilbert class eld of certain imaginary quadratic elds", Proc. Japan Aca. Ser.A Math. Sci, 86(1), pp.18~19 (2010)
- 오장헌, "ANTI-CYCLOTOMIC EXTENSION AND HILBERT CLASS FIELD", 충청수학회지, 25(1), pp.91~96 (2012), 충청수학회
관련 논문AI추천
Construction of the Hilbert class field of some imaginary quadratic fields오장헌강원경기수학회 · 한국수학논문집2018 · 제26권 제2호A note on the first layers of Z_{p}-extensionsJangheon Oh대한수학회 · 대한수학회논문집2009 · 제24권 제1호Construction of the first layer of anti-cyclotomic extension오장헌강원경기수학회 · 한국수학논문집2013 · 제21권 제3호On the lower layers of a $\mathbb Z_{p}$-extension오장헌강원경기수학회 · 한국수학논문집2022 · 제30권 제2호Lifting of the unramified Iwasawa module오장헌강원경기수학회 · 한국수학논문집2019 · 제27권 제3호Hilbert 2-class field towers of imaginary quadratic function fields정환엽대한수학회 · 대한수학회보2013 · 제50권 제3호
이 간행물의 다른 논문 (14건)
Constructive approximation by neural networks with positive integer weights함남우, 홍범일pp. 327-336On a ring property generalizing power-Armendariz and central Armendariz rings김홍기, 이양, 이창익, 남상복, 서연숙, 윤상조, 류성주, 성효진, 차호준, 정다운, 김진아pp. 337-355On $(m,n)$-ideals of an ordered Abel-Grassmann groupoidAsad Khan, Aiyared Iampan, Faisal Yousafzaipp. 357-370Complex factorizations of the generalized Fibonacci sequences $\{q_n\}$전상표pp. 371-377Nonlinear biharmonic equation with polynomial growth nonlinear term정택선, 최규흥pp. 379-391