Recognising tensor-induced matrix groups.

DOI10.1016/S0021-8693(02)00041-8zbMath1084.20032OpenAlexW2063689556MaRDI QIDQ1849115

E. A. O'Brien, Charles R. Leedham-Green

Publication date: 28 November 2002

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00041-8

zbMATH Keywords

algorithmstensor productssubgroups of general linear groupsirreducible linear groupsAschbacher classestensor-induced groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items

Conjugacy of Subgroups of the General Linear Group ⋮ A survey on varieties generated by small semigroups and a companion website ⋮ Constructing composition factors for a linear group in polynomial time ⋮ The affine primitive permutation groups of degree less than 1000. ⋮ A practical model for computation with matrix groups. ⋮ On tensor induction for representations of finite groups. ⋮ A computer-assisted analysis of some matrix groups. ⋮ Recognition of finite exceptional groups of Lie type ⋮ Computing a Chief Series and the Soluble Radical of a Matrix Group Over a Finite Field

Uses Software

• Magma

Cites Work

• On the maximal subgroups of the finite classical groups
• On the order of uniprimitive permutation groups
• Tensor products are projective geometries
• The Magma algebra system. I: The user language
• Testing matrix groups for primitivity
• On the orders of Primitive Permutation Groups
• Finite Permutation Groups and Finite Simple Groups
• A Recognition Algorithm for Special Linear Groups
• Recognising Tensor Products of Matrix Groups
• Generating random elements of a finite group
• On critical groups
• Endliche Gruppen I
• On the laws of certain finite groups
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