Permutation representations of the finite classical groups of small degree or rank

DOI10.1016/0021-8693(79)90112-1zbMath0422.20033OpenAlexW1974967929MaRDI QIDQ1133624

William M. Kantor

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90112-1

zbMATH Keywords

simple groupsprimitive permutation groupright cosetsclassical finite groupsirreducible subgroup

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Primitive groups (20B15)

Related Items

On the number of conjugacy classes of a primitive permutation group, A note on automorphism groups of countably infinite structures, Finite primitive groups of small rank: symmetric and sporadic groups, On the degrees of primitive permutation groups, The primitive permutation groups of degree less than 1000, Conway groupoids, regular two-graphs and supersimple designs, Minimal characters of the finite classical groups, Discrete groups of slow subgroup growth, Dimensional dual hyperovals and APN functions with translation groups, Linear groups, Finite groups, Probabilistic Waring problems for finite simple groups, The probability of generating the symmetric group, Stable Finitely Homogeneous Structures, The small index property for infinite dimensional classical groups, Characterizing symmetric designs by their symmetries, The primitive permutation groups of degree less than 2500., On minimal degrees and base sizes of primitive permutation groups, Homogeneity in infinite permutation groups, Sylow's theorem in polynomial time

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