Article

A note on number fields having reciprocal integer generators

Published in: Quaestiones Mathematicae
Volume 40 , issue 3 , 2017 , pages: 391–394

DOI: 10.2989/16073606.2017.1289275

Author(s): Toufik Zaïmi Department of Mathematics and Statistics, College of Science, Saudi Arabia

Keywords: Primary 11R06 , Secondary 11R32 , Primary 11R06 , Secondary 11R32

Abstract

We prove that a totally complex algebraic number field K, having a conjugate which is not closed under complex conjugation, can be generated by a reciprocal integer, when the Galois group of its normal closure is contained in the hyperoctahedral group B_deg(K)/2.

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