Recognising the Suzuki groups in their natural representations.

DOI10.1016/j.jalgebra.2006.02.010zbMath1102.20012arXivmath/0608210OpenAlexW2080684533MaRDI QIDQ2496861

Henrik Bäärnhielm

Publication date: 20 July 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608210

zbMATH Keywords

generatorsrepresentationsSuzuki groupseffective algorithmsblack-box groupsclassical groups over finite fieldsconstructive recognition

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items

TI subgroups and depth 3 subgroups in simple Suzuki groups, A new method for recognising Suzuki groups, Recognising the small Ree groups in their natural representations., Constructing composition factors for a linear group in polynomial time, A practical model for computation with matrix groups., GROUPS WITH ABELIAN SYLOW SUBGROUPS, Recognition of finite exceptional groups of Lie type, Constructive recognition of classical groups in odd characteristic., Computing a Chief Series and the Soluble Radical of a Matrix Group Over a Finite Field, Black box exceptional groups of Lie type

Uses Software

• Magma
• R
• MeatAxe
• matrixss

Cites Work

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