Hilbert-Speiser number fields and the complex conjugation

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概要

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• Let p be a prime number. We say that a number field F satisfies the condition (Hp) when any tame cyclic extension N⁄F of degree p has a normal integral basis. We determine all the CM Galois extensions F⁄Q satisfying (Hp) for the case p≥5, using the action of the complex conjugation on several objects associated to F.

• 2010-01-01

著者

• Ichimura Humio

  Faculty Of Science Ibaraki University

関連論文

• Hilbert-Speiser number fields and the complex conjugation
• On the 2-part of the class numbers of cyclotomic fields of prime power conductors
• Stickelberger ideals of conductor p and their application

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