A note on number fields having reciprocal integer generators

  • Toufik Zaïmi
Keywords: Reciprocal integers, unit primitive elements, reciprocal numbers

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

Published
2017-05-19
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606