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Primitivity testing of finite nilpotent linear groups

  • Tobias Rossmann (a1)

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 in Magma is publicly available.

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References

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