1 citations · 2 across the 5 of their papers we have counts for
5 papers
Monogenity of pure quintic fields: the power of sieving
István Gaál
We provide a simple algorithm for calculating all generators of power integral bases in pure quintic fields. This procedure involves the usual standard elements like Baker's method…
Investigating monogenity in a family of cyclic sextic fields
István Gaál
L. Jones characterized among others monogenity of a family of cyclic sextic polynomials. Our purpose is to study monogenity of the family of corresponding sextic number fields. Thi…
Power integral bases in a family of octic fields
István Gaál
Several recent results prove the monogenity of some polynomials. In these cases the root of the polynomial generates a power integral basis in the number field generated by the roo…
Calculating power integral bases in some quartic fields corresponding to monogenic families of polynomials
István Gaál
J. Harrington and L. Jones characterized monogenity of four new parametric families of quartic polynomials with various Galois groups. A short time later P. Voutier added a cyclic…
On the monogenity of totally complex pure octic fields
István Gaál
Let and . According to the results of I. Gaál and L. El Fadil, generates a power integral basis in , if and only if is square-free an…