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ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2004; 19(1): 23-27
Printed March 1, 2004
Copyright © The Korean Mathematical Society.
Norms and units on the basic ${\mathbb Z}_{3}$-extension of certain cubic fields
Jangheon Oh
Sejong University
In this paper we explicitly compute the orders of ambiguous ideal class groups of layers of the basic ${\mathbb Z}_{3}$-extension of certain cubic fields and give an example for Greenberg's conjecture.
Keywords: Greenberg's conjecture, class number, cyclotomic units
MSC numbers: 11R23
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