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http://dx.doi.org/10.11568/kjm.2015.23.3.323

ON THE ANTICYCLOTOMIC ℤp-EXTENSION OF AN IMAGINARY QUADRATIC FIELD  

OH, JANGHEON (Faculty of Mathematics and Statistics Sejong University)
Publication Information
Korean Journal of Mathematics / v.23, no.3, 2015 , pp. 323-326 More about this Journal
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 $k^a_{\infty}$ of k, then it is contained in $k^a_{\infty}$. And we give an example of an imaginay quadratic field k with ${\lambda}_3(k^a_{\infty}){\geq}8$.
Keywords
Iwasawa theory; anticylotomic extension; Hilbert class field;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
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