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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
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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).

Information

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