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On the unramified extensions of the prime cyclotomic number field and its quadratic extensions

Published online by Cambridge University Press:  22 January 2016

Norikata Nakagoshi
Norikata Nakagoshi*
Affiliation:
Department of Mathematics, Toyama University, Gofuku 3190, Toyama 930, Japan
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It is interesting to know what kinds of primes are the factors of the class number of an algebraic number field, and especially to find ones being prime to the degree. About this matter it is desirable to construct the unramified Abelian extensions plainly. In this paper we shall show some of them for the prime cyclotomic number field and its quadratic extensions using the units of subfields.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 115 , September 1989 , pp. 151 - 164
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1989

References

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