On elements of prime order in primitive permutation groups

DOI10.1016/0021-8693(79)90111-XzbMath0424.20001OpenAlexW2012970929WikidataQ56988419 ScholiaQ56988419MaRDI QIDQ1134807

Cheryl E. Praeger

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)90111-x

zbMATH Keywords

stabiliserprimitive permutation groupsalternating groupsfixed point setselement of prime orderlarge alternating groupssupport of a subgroup

Mathematics Subject Classification ID

Primitive groups (20B15) General theory for finite permutation groups (20B05) Multiply transitive finite groups (20B20) Characterization theorems for permutation groups (20B10)

Related Items (8)

Finite nilpotent groups that coincide with their 2-closures in all of their faithful permutation representations ⋮ Bounds on finite quasiprimitive permutation groups ⋮ Line-primitive linear spaces with Fang-Li parameter \(\text{gcd}(k,r)\) at most 12 ⋮ 2-closures of primitive permutation groups of holomorph type ⋮ On finite totally \(2\)-closed groups ⋮ Finite simple groups and finite primitive permutation groups ⋮ Finite primitive permutation groups containing a permutation having at most four cycles ⋮ On invariable generation of alternating groups by elements of prime and prime power order

Cites Work

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• Permutation Groups of Degree 4p +3
• On a Theorem of Jordan and Manning
• Transitive Permutation Groups of Prime Degree
• Permutation Groups with Multiply Transitive Suborbits
• Doubly transitive permutation groups which are not doubly primitive

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