Author:
ZAÏMI T.,BERTIN M. J.,ALJOUIEE A. M.
Abstract
We characterise number fields without a unit primitive element, and we exhibit some families of such fields with low degree. Also, we prove that a noncyclotomic totally complex number field $K$, with degree $2d$ where $d$ is odd, and having a unit primitive element, can be generated by a reciprocal integer if and only if $K$ is not CM and the Galois group of the normal closure of $K$ is contained in the hyperoctahedral group $B_{d}$.
Publisher
Cambridge University Press (CUP)
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