Plane geometries associated with certain 2-transitive groups

DOI10.1016/0021-8693(75)90072-1zbMath0338.20003OpenAlexW2151818904MaRDI QIDQ1230983

William M. Kantor

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0021-8693(75)90072-1

Mathematics Subject Classification ID

Other designs, configurations (05B30) Combinatorial aspects of finite geometries (05B25) Multiply transitive finite groups (20B20)

Related Items (10)

Classifications of finite highly transitive dimensional linear spaces ⋮ 3/2-transitive permutation groups and designs ⋮ Finite linear spaces with flag-transitive groups ⋮ Block transitive automorphism groups of 2-(v,k,1) block designs ⋮ Groups acting flag-transitively on designs ⋮ Some applications of Magma in designs and codes: Oval designs, Hermitian unitals and generalized Reed-Muller codes ⋮ Transitive permutation groups with 2-point stabilisers of order 2 ⋮ Rank 3 groups and biplanes ⋮ Permutation groups of even degree whose 2-point stabilisers are isomorphic cyclic 2-groups ⋮ Arcs and ovals in the Hermitian and Ree unitals

Cites Work

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• On 2-transitive collineation groups of finite projective spaces
• Solvability of groups of odd order
• Central elements in core-free groups
• Endliche zweifach transitive Permutationsgruppen, deren Involutionen keine Fixpunkte haben
• Une caractérisation des espaces affins basée sur la notion de droite
• On multiply transitive groups. IV
• Some applications of the theory of blocks of characters of finite groups. II
• Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt fest läßt
• On some doubly transitive groups
• Automorphisms of Steiner Triple Systems
• On 2-Transitive Groups in Which the Stabilizer of Two Points Fixes Additional Points †
• Polarities in finite projective planes

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