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A Note on Units of Algebraic Number Fields

Published online by Cambridge University Press:  22 January 2016

Tomio Kubota
Tomio Kubota*
Affiliation:
Mathematical Institute, Nagoya University
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We shall prove in the present note a theorem on units of algebraic number fields, applying one of the strongest formulations, be Hasse [3], of Grunwald’s existence theorem.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 9 , October 1955 , pp. 115 - 118
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1955

References

[1] Chevalley, C., Class field theory, Nagoya University (1953/54).Google Scholar
[2] Hasse, H., Bericht, 1 (1926), 1a (1927) and 11 (1930).Google Scholar
[3] Hasse, H., Zum Existenzsatz von Grunwald in der Klassenkörpertheorie, J. Reine Angew. Math., 188 (1950), 40–64.Google Scholar
[4] Whaples, G., Non-analytic class field theory and Grunwald’s theorem, Duke Math. J., vol. 9 (1942), 455–473.Google Scholar