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On Meta Abelian Fields of a Certain Type

Published online by Cambridge University Press:  22 January 2016

Yoshiomi Furuta
Yoshiomi Furuta*
Affiliation:
Mathematical Institute, Nagoya University
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Let k be an algebraic number field of finite degree, and l a rational prime (including 2); k and l being fixed throughout this paper. For any power ln of l, denote by ζn an arbitrarily fixed primitive ln-th root of unity, and put kn = k(ζn). Let r be the maximal rational integer such that ζr∈k i.e. kr = k and kr+1≠k.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 14 , February 1959 , pp. 193 - 199
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1959

References

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