Hilbert-Speiser number fields and the complex conjugation

スポンサーリンク

概要

• 論文の詳細を見る

• 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.

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

スポンサーリンク