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Monogenesis of the rings of integers in certain imaginary abelian fields

Published online by Cambridge University Press:  22 January 2016

Syed Inayat Ali Shah  and
Toru Nakahara
Syed Inayat Ali Shah
Affiliation:
Department of Engineering Systems and Technology, Course of Science and Engineering, Graduate School of Saga University, Saga 840-8502, Japan, shah@ms.saga-u.ac.jp
Toru Nakahara
Affiliation:
Department of Mathematics, Faculty of Science and Engineering, Saga University, Saga 840-8502, Japan, nakahara@ms.saga-u.ac.jp
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Abstract

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In this paper we consider a subfield K in a cyclotomic field km of conductor m such that [km: K] = 2 in the cases of m = lpn with a prime p, where l = 4 or p > l = 3. Then the theme is to know whether the ring of integers in K has a power basis or does not.

Keywords

11R1811R04

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 168 , 2002 , pp. 85 - 92
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2002

References

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