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http://dx.doi.org/10.4134/CKMS.2009.24.1.001

A NOTE ON THE FIRST LAYERS OF ℤp-EXTENSIONS  

Oh, Jang-Heon (DEPARTMENT OF APPLIED MATHEMATICS SEJONG UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.24, no.1, 2009 , pp. 1-4 More about this Journal
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 ${\mathbb{Z}}_3$-extension of an imaginary quadratic field is unramified everywhere.
Keywords
Minkowski unit; anti-cyclotomic extension; ${\mathbb{Z}}_p$-extension;
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Times Cited By SCOPUS : 1
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