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 Norms and units on the basic ${\mathbb Z}_{3}$-extension of certain cubic fields Commun. Korean Math. Soc. 2004 Vol. 19, No. 1, 23-27 Printed March 1, 2004 Jangheon Oh Sejong University Abstract : 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 Downloads: Full-text PDF