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Norms and units on the basic ${\mathbb Z}_{3}$-extension of certain cubic fields

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Abstract

In this paper we explicitly compute the orders of ambiguous idealclass groups of layers of the basic {mathbb Z}_{3}-extensionof certain cubic fields and give an example for Greenberg'sconjecture.

참고문헌 (4)

  1. "A Course in Computational Algebraic Number Theory" (1995)
  2. "On Iwasawa {{lambda_{p}}-Invariants of Relative RealCyclic Extensions of Degree p}", 20(2), pp.475~480 (1997)
  3. "On the Iwasawa invariants of totally real number fields", 98(1), pp.263~ (1976)
  4. "Introduction to Cyclotomic Fields" (1996)

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