Calculating generators of power integral bases in pure sextic fields
István Gaál · Functiones et Approximatio Commentarii Mathematici · 2023
Monogenity of pure fields is recently intensively investigated. There are several papers on conditions for the monogenity and non-monogenity of pure fields of various degrees.However, efficient algorithms for determining generators of power integral basesexists only for pure cubic and pure quartic fields.In our paper we present an efficient method to determine all generators of power integral bases of pure sextic fields.