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A note on number fields having reciprocal integer generators
Journal article   Peer reviewed

A note on number fields having reciprocal integer generators

Toufik Zaïmi
Quaestiones mathematicae, Vol.40(3), pp.391-394
28/04/2017
DOI: https://doi.org/10.2989/16073606.2017.1289275

Abstract

Primary 11R06 Reciprocal integers reciprocal numbers Secondary 11R32 unit primitive elements
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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