Minimal permutation representations of finite simple classical groups. Special linear, symplectic, and unitary groups

DOI10.1007/BF02261693zbMath0854.20017OpenAlexW2009062736MaRDI QIDQ1346897

Victor D. Mazurov

Publication date: 20 April 1995

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187649

zbMATH Keywords

degreesfinite simple classical groupsminimal permutation representations

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Related Items (21)

ON SOME VERTEX-TRANSITIVE DISTANCE-REGULAR ANTIPODAL COVERS OF COMPLETE GRAPHS ⋮ Edge-symmetric distance-regular coverings of complete graphs: the almost simple case ⋮ Finite groups whose maximal subgroups have only soluble proper subgroups ⋮ Covers of complete graphs and related association schemes ⋮ ON A CLASS OF EDGE-TRANSITIVE DISTANCE-REGULAR ANTIPODAL COVERS OF COMPLETE GRAPHS ⋮ Minimal permutation representations of finite simple orthogonal groups ⋮ Edge-symmetric distance-regular covers of cliques with \(\lambda=\mu\) ⋮ Arc-transitive groups of automorphisms of antipodal distance-regular graphs of diameter 3 in affine case ⋮ Nonsolvable finite groups whose all nonsolvable superlocals are Hall subgroups ⋮ Edge-symmetric distance-regular coverings of cliques: the affine case ⋮ Solubility of finite generalized Frobenius groups with the kernel of odd index ⋮ On Ditsman's lemma. ⋮ Finite groups in which every nonsolvable maximal subgroup is a Hall subgroup. ⋮ Arc-transitive distance-regular covers of cliques with \(\lambda = \mu\) ⋮ The use of permutation representations in structural computations in large finite matrix groups ⋮ The non-solvable rank 3 affine planes ⋮ Primitive parabolic permutation representations for finite simple orthogonal groups in odd dimensions. ⋮ Finite groups with prescribed \(\Phi \)-simple maximal subgroups ⋮ The existence of minimal logarithmic signatures for some finite simple unitary groups ⋮ Primitive parabolic permutation representations of finite special linear and unitary groups. ⋮ Maximal subgroups of small index of finite almost simple groups

Cites Work

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• Minimal degree for a permutation representation of a classical group
• Minimal permutation representation of Thompson's simple group

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