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Quaestiones Mathematicae

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A note on number fields having reciprocal integer generators

Toufik Zaïmi

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 Bdeg(K)/2.

Keywords: Reciprocal integers, unit primitive elements, reciprocal numbers




http://dx.doi.org/10.2989/16073606.2017.1289275
AJOL African Journals Online