Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-26T07:21:36.593Z Has data issue: false hasContentIssue false
  • English
  • Français

A generalization of Hubert’s Theorem 94

Published online by Cambridge University Press:  22 January 2016

Katsuya Miyake
Katsuya Miyake*
Affiliation:
Department of Mathematics College of General Education, Nagoya University, Chikusa-ku, Nagoya 464, Japan
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let k be an algebraic number field of finite degree. We denote the absolute class field of k by and the absolute ideal class group of k by Cl(k).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 96 , December 1984 , pp. 83 - 94
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1984

References

[ 1 ] Artin, E., Idealklassen in Oberkörpern und allgemeine Reziprozitätsgesetze, Abh. Math. Sem. Univ. Hamburg., 7 (1930), 46–51.CrossRefGoogle Scholar
[ 2 ] Huppert, B., Endliche Gruppen I, Springer-Verlag, Berlin ·Heidelberg· New York (1967).CrossRefGoogle Scholar
[ 3 ] Miyake, K., On the structure of the idele groups of algebraic number fields, II,. Tôhoku Math. J., 34 (1982), 101–112.CrossRefGoogle Scholar