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Unit Groups of Cyclic Extensions

Published online by Cambridge University Press:  22 January 2016

Tomio Kubota
Tomio Kubota*
Affiliation:
Mathematical Institute, Nagoya University
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Let Ω be an algebraic number field of finite degree, which we fix once for all, and let K be a cyclic extension over Ω such that the degree of K/Ω is a powerof a prime number l. It is obvious that the norm group NK/ΩeK of the unit group ek of K, being a subgroup of the unit group e of Ω contains the groupconsisting of all-th powersof ε∈e.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 12 , December 1957 , pp. 221 - 229
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1957

References

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