Primitivity testing of finite nilpotent linear groups

DOI10.1112/S1461157010000227zbMath1234.20061MaRDI QIDQ3092476

Tobias Rossmann

Publication date: 16 September 2011

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

zbMATH Keywords

algorithmsfields of characteristic zerofinite nilpotent linear groupsprimitivity testing

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Finite nilpotent groups, (p)-groups (20D15) Software, source code, etc. for problems pertaining to group theory (20-04) Other matrix groups over fields (20H20)

Related Items (3)

Irreducibility testing of finite nilpotent linear groups. ⋮ Primitive finite nilpotent linear groups over number fields ⋮ From Independent Sets and Vertex Colorings to Isotropic Spaces and Isotropic Decompositions: Another Bridge between Graphs and Alternating Matrix Spaces

Uses Software

• Magma
• finn

Cites Work

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• Realisierung von Darstellungen endlicher nilpotenter Gruppen. (Realization of representations of finite-dimensional nilpotent groups)
• Character theory of finite groups
• Algebraische Zahlentheorie
• Computing in Nilpotent Matrix Groups

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