On Elusive Permutation Groups of Square-Free Degree

DOI10.1080/00927870902747951zbMath1192.20002OpenAlexW2031686563MaRDI QIDQ3644349

Jing Xu

Publication date: 4 November 2009

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

Full work available at URL: https://doi.org/10.1080/00927870902747951

zbMATH Keywords

minimal normal subgroupsfinite transitive permutation groupspolycirculant conjecturesquare-free degreeelusive permutation groups

Mathematics Subject Classification ID

Subgroups of symmetric groups (20B35) General theory for finite permutation groups (20B05) Multiply transitive finite groups (20B20)

Related Items (7)

Permutation groups and derangements of odd prime order ⋮ Almost elusive classical groups ⋮ Locally elusive classical groups ⋮ Semiregular elements in transitive 2-closed permutation groups of certain degrees ⋮ Prime order derangements in primitive permutation groups. ⋮ On 2-closed elusive permutation groups of degrees p2q and p2qr ⋮ Almost elusive permutation groups

Cites Work

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• Minimal normal subgroups of transitive permutation groups of square-free degree
• All vertex-transitive locally-quasiprimitive graphs have a semiregular automorphism
• Semiregular automorphisms of vertex-transitive graphs of certain valencies
• Permutation groups, vertex-transitive digraphs and semiregular automorphisms
• On the probability of connectedness
• Semiregular automorphisms of arc-transitive graphs with valency \(pq\)
• Transitive Permutation Groups Without Semiregular Subgroups
• QUASIPRIMITIVE GROUPS WITH NO FIXED POINT FREE ELEMENTS OF PRIME ORDER
• New Constructions of Groups Without Semiregular Subgroups

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