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2002 Monogenesis of the rings of integers in certain imaginary abelian fields
Toru Nakahara, Syed Inayat Ali Shah
Nagoya Math. J. 168: 85-92 (2002).

Abstract

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

Citation

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Toru Nakahara. Syed Inayat Ali Shah. "Monogenesis of the rings of integers in certain imaginary abelian fields." Nagoya Math. J. 168 85 - 92, 2002.

Information

Published: 2002
First available in Project Euclid: 27 April 2005

zbMATH: 1036.11052
MathSciNet: MR1942395

Subjects:
Primary: 11R18
Secondary: 11R04

Rights: Copyright © 2002 Editorial Board, Nagoya Mathematical Journal

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Vol.168 • 2002
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