Primitivity testing of finite nilpotent linear groups
Tobias Rossmann · LMS Journal of Computation and Mathematics · 2011
Abstract We describe a practical algorithm for primitivity testing of finite nilpotent linear groups over various fields of characteristic zero, including number fields and rational function fields over number fields. For an imprimitive group, a system of imprimitivity can be constructed. An implementation of the algorithm inMagmais publicly available.