Minimal permutation representations of finite simple orthogonal groups

DOI10.1007/BF00756348zbMath0842.20015OpenAlexW2093761538MaRDI QIDQ1910278

Victor D. Mazurov, Andrey V. Vasilev

Publication date: 21 July 1996

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

Full work available at URL: https://eudml.org/doc/187702

zbMATH Keywords

rankspermutation representationssubdegreesminimal degreedegreespoint stabilizersfinite simple orthogonal groups

Mathematics Subject Classification ID

Representations of finite groups of Lie type (20C33)

Related Items (13)

ON SOME VERTEX-TRANSITIVE DISTANCE-REGULAR ANTIPODAL COVERS OF COMPLETE GRAPHS ⋮ Edge-symmetric distance-regular coverings of complete graphs: the almost simple case ⋮ On the maximum orders of elements of finite almost simple groups and primitive permutation groups ⋮ Nonsolvable finite groups whose all nonsolvable superlocals are Hall subgroups ⋮ Solubility of finite generalized Frobenius groups with the kernel of odd index ⋮ Finite groups in which every nonsolvable maximal subgroup is a Hall subgroup. ⋮ A generalization of a theorem of Rodgers and Saxl for simple groups of bounded rank ⋮ 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. ⋮ On the number of fixed points of automorphisms of vertex-transitive graphs ⋮ Finite primitive groups and regular orbits of group elements ⋮ Maximal subgroups of small index of finite almost simple groups

Cites Work

• Minimal degree for a permutation representation of a classical group
• Minimal permutation representations of finite simple classical groups. Special linear, symplectic, and unitary groups
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