On doubly transitive permutation groups

DOI10.1017/S0004972700008340zbMath0417.20004OpenAlexW2029295213MaRDI QIDQ5895366

Cheryl E. Praeger

Publication date: 1978

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700008340

zbMATH Keywords

finite permutation groupscollineation groupdoubly transitive groupsblocks of imprimitivityuniprimitive groups

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Finite affine and projective planes (geometric aspects) (51E15) Primitive groups (20B15) Multiply transitive finite groups (20B20) Characterization theorems for permutation groups (20B10) Desarguesian and Pappian geometries (51A30)

Cites Work

• 2-transitive groups whose 2-point stabilizer has 2-rank 1
• Doubly transitive permutation groups in which the one-point stabilizer is triply transitive on a set of blocks
• Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt fest läßt
• On subgroups with trivial normalizer intersection
• Finite groups with a split BN-pair of rank 1. I
• A characterization of \(L_n(q)\) as a permutation group
• Normal Structure of the One-Point Stabilizer of a Doubly-Transitive Permutation Group. I
• Normal Structure of the One-Point Stabilizer of a Doubly-Transitive Permutation Group. II
• Doubly transitive permutation groups which are not doubly primitive

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