대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제19권1호
  • /
  • Pages.23-27
  • /
  • 2004
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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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
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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.

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참고문헌

  1. A Course in Computational Algebraic Number Theory H.Cohen
  2. 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
  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