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

Oh, Jang-Heon

  • Published : 2004.01.01

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

References

  1. Amer. J. Math. v.98 no.1 On the Iwasawa invariants of totally real number felds R.Greenberg https://doi.org/10.2307/2373625
  2. A Course in Computational Algebraic Number Theory H.Cohen
  3. ToKyo J. Math. v.20 no.2 On Iwasawa ${\lambda}_p$ -Invariants of Relative Real Cyclic Extensions of Degree p T.Fukuda;K.Komatsu;M.Ozaki;H.Taya https://doi.org/10.3836/tjm/1270042120
  4. Introduction to Cyclotomic Fields L.Washington
  5. Cyclotomic Fields Ⅰ and Ⅱ S.Lang