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On the Absolute Ideal Class Groups of Relatively Meta-Cyclic Number Fields of a Certain Type

Published online by Cambridge University Press:  22 January 2016

Taira Honda
Taira Honda*
Affiliation:
Department of Mathematics, University of Tokyo
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Notations. The following notations will be used throughout this paper.

˛: the identity of a finite group.

Q: the rational number field.

P: an algebraic number field of finite degree, fixed as the ground field.

l: a prime number.

ζl: a primitive l-th root of unity.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 17 , August 1960 , pp. 171 - 179
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1960

References

[1] Hasse, H., Bericht über neuere Untersuchungen und Probleme aus der Theorie der algebraischen Zahlkörper, II (1930), Jahresberichte der D.M.V.Google Scholar
[2] Nehrkorn, H., Über absolute Idealklassengruppe und Einheiten in algebraischen Zahl-körpern, Abh. Math. Sem. Univ. Hamburg 9 (1933), pp. 318–334.CrossRefGoogle Scholar
[3] Kuroda, S., Über die Klassenzahl algebraischer Zahlkorper, Nagoya Math. J. 1 (1950), pp. 1–10.Google Scholar
[4] Honda, T., On absolute class fields of certain algebraic number fields, Jour. f. Math. 203 (-1960), pp. 80–89.Google Scholar