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http://dx.doi.org/10.11568/kjm.2013.21.3.265

CONSTRUCTION OF THE FIRST LAYER OF ANTI-CYCLOTOMIC EXTENSION  

Oh, Jangheon (Department of Applied Mathematics College of Natural Sciences Sejong University)
Publication Information
Korean Journal of Mathematics / v.21, no.3, 2013 , pp. 265-270 More about this Journal
Abstract
In this paper, using a theorem of Brink for prime decomposition of the anti-cyclotomic extension, we explicitly construct the first layer of the anti-cyclotomic $\mathbb{Z}_3$-extension of imaginary quadratic fields.
Keywords
Hilbert class field; anti-cyclotomic extension; Kummer extension;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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