The Hasse norm principle modulo m of finite Galois extensions of algebraic number fields and a generalization of a theorem of Fröhlich on the e-divisibility of the class numbers of e-abelian fields
Author:
Affiliation:
1. DEPARTMENT OF MATHEMATICS FACULTY OF GENERAL EDUCATION NIIGATA UNIVERSITY
2. DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE NIIGATA UNIVERSITY
Publisher
Mathematical Society of Japan (JST)
Subject
General Mathematics
Link
https://www.jstage.jst.go.jp/article/math1924/20/2/20_2_231/_pdf
Reference20 articles.
1. [1] A. Frohlich, On fields of class two, Proc. London Math. Soc., (3) 4 (1954), 235-256.
2. [2] A. Frohlich, On the absolute class group of Abelian fields, J. London Math. Soc., 29 (1954), 211-217.
3. [3] A. Frohlich, Central extensions, Galois groups, and ideal class group of number fields, Contemporary Math., vol. 24, American Math. Soc., Providence.Rhode Island, 1983.
4. [4] Y. Furuta, The genus field and genus number in algebraic number field, Nagoya Math. J., 29 (1967), 281-285.
5. [5] Y. Furuta, Uber die Zentrale Klassenzahl eines Relativ-Galoisschen Zahlkorpers, J. Number Theory, 3 (1971), 318-322.
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