Annales Mathematiques Africaines
abstract_art8
Contenu
Generators of power integral bases of
François E. TANOE*
Kouassi Vincent KOUAKOU**
UFR Mathématiques - Informatique Université Félix Boigny,
22 BP 582 Abidjan 22, Côte d'Ivoire
Mathematics Subject Classification: (2010) 11R60
Key words : cyclotomic field
Abstract:
The cyclotomic field
is the single monogenic
quadratic
number
fields
when
(
compositum of
quadratic number fields ). In this paper we determine all the generators of
power integral bases of
by using a system of diophantine equations. We find that these generators are
exactly the eigth conjugates of
modulo
