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Primitivity testing of finite nilpotent linear groups

Published online by Cambridge University Press:  01 March 2011

Tobias Rossmann*
Affiliation:
School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland (email: [email protected])

Abstract

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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 in Magma is publicly available.

Type
Research Article
Copyright
Copyright © London Mathematical Society 2011

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