The fixity of permutation groups

DOI10.1006/jabr.1995.1171zbMath0832.20002OpenAlexW2008685341MaRDI QIDQ1895606

Aner Shalev, Jan Saxl

Publication date: 13 August 1995

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

Full work available at URL: https://doi.org/10.1006/jabr.1995.1171

zbMATH Keywords

primitive permutation groupsfinite permutation groupsnilpotent groupssolvable groupstransitive permutation groupsminimal degreederived lengthclassification of finite simple groupsfixitynumbers of fixed points

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05) Finite nilpotent groups, (p)-groups (20D15) Primitive groups (20B15) General theory for finite permutation groups (20B05) Multiply transitive finite groups (20B20)

Related Items (9)

On fixity of arc-transitive graphs ⋮ Primitive sharp permutation groups with large solvable subgroups ⋮ On the involution fixity of exceptional groups of Lie type ⋮ Fixed point spaces in primitive actions of simple algebraic groups. ⋮ On fixed points of elements in primitive permutation groups. ⋮ Binary Linear Codes with Near-Extremal Maximum Distance ⋮ Cartan coherent configurations ⋮ Extremal solutions of an inequality concerning supports of permutation groups and punctured Hadamard codes ⋮ On the involution fixity of simple groups

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