The fields of degree seven over rationals with a normal basis generated by a unit (Q2702781)

The problem of the existence of normal basis in fields of the seventh degree over \(\mathbb{Q}\) with abelian Galois group generated by a unit is completely solved in this paper. NEWLINENEWLINENEWLINEMoreover, all fields of seventh degree over \(\mathbb{Q}\) with such basis are found. The paper is a continuation of the paper of \textit{S. Jakubec, J. Kostra} and \textit{K. Nemoga} [Math. Comput. 56, 809-815 (1991; Zbl 0722.11056)].