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Primitivity testing of finite nilpotent linear groups

Rossmann, Tobias
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http://hdl.handle.net/10379/13712
 https://doi.org/10.13025/28118
Publication Date
2011-03-08
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Externally hosted open access publications with University of Galway authors
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journal article
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Rossmann, Tobias (2011). Primitivity testing of finite nilpotent linear groups. LMS Journal of Computation and Mathematics 14 , 87-98
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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Oxford University Press (OUP)
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