Rank 4 groups with a 3-transitive suborbit

DOI10.1016/0097-3165(85)90039-1zbMath0579.20002OpenAlexW2034253821MaRDI QIDQ1066993

Manley Perkel

Publication date: 1985

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(85)90039-1

zbMATH Keywords

incidence graphsranknumber of orbitsstabilizertransitive permutation group

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Combinatorial aspects of finite geometries (05B25) General theory for finite permutation groups (20B05) Multiply transitive finite groups (20B20)

Cites Work

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• 2-transitive and antiflag transitive collineation groups of finite projective spaces
• On projective and affine planes with transitive collineation groups
• Primitive rank 3 groups with a prime subdegree
• Intersection matrices for finite permutation groups
• The nonexistence of rank three permutation groups of degree 3250 and subdegree 57
• Primitive extensions of rank 4 of multiply transitive permutation groups. I: The case where all the orbits are self-paired
• On finite permutation groups of rank 4
• Finite permutation groups of rank 3
• Finite Permutation Groups and Finite Simple Groups
• Bounding the Valency of Polygonal Graphs With Odd Girth
• A Characterization of PSL(2, 31) and its Geometry
• MOORE GEOMETRIES AND RANK 3 GROUPS HAVING μ=1

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