NORMS AND UNITS ON THE BASIC ℤ3-EXTENSION OF CERTAIN CUBIC FIELDS

Title & Authors
NORMS AND UNITS ON THE BASIC ℤ3-EXTENSION OF CERTAIN CUBIC FIELDS
Oh, Jang-Heon;

Abstract
In this paper we explicitly compute the orders of ambiguous ideal class groups of layers of the basic $\small{{\mathbb{Z}}_3-extension}$ of certain cubic fields and give an example for Greenberg's conjecture.
Keywords
Greenberg's conjecture;class number;cyclotomic units;
Language
English
Cited by
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