DOI QR코드

DOI QR Code

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

  • Oh, Jang-Heon (Department of Mathematics Education Sejong University)
  • 발행 : 2004.01.01

초록

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.

키워드

참고문헌

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  3. Amer. J. Math. v.98 no.1 On the Iwasawa invariants of totally real number felds R.Greenberg https://doi.org/10.2307/2373625
  4. Cyclotomic Fields Ⅰ and Ⅱ S.Lang
  5. Introduction to Cyclotomic Fields L.Washington