Steiner triple systems with block-transitive automorphism groups

DOI10.1016/0012-365X(76)90055-8zbMath0323.05012MaRDI QIDQ1224102

P. C. Clapham

Publication date: 1976

Published in: Discrete Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Euclidean geometries (general) and generalizations (51M05) Affine analytic geometry (51N10)

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Doubly homogeneous \(2\text{-}(v,k,1)\) designs, Unsolvable block transitive automorphism groups of \(2\)-\((v,5,1)\) designs, Unsolvable Block Transitive Automorphism Groups of 2-(v,11,1) Designs, Finite linear spaces with flag-transitive groups, Most block-transitive t-designs are point-primitive, Block transitive automorphism groups of 2-(v,k,1) block designs, Join-irreducible Boolean functions, Oriented Steiner loops., The \(2\)-\((v,11,1)\) designs with unsolvable block transitive automorphism, On points and triples of Steiner triple systems, Block designs on 196 points, Homogeneous multiplications, Nonexistence of sparse triple systems over abelian groups and involutions, Extremely primitive groups and linear spaces, \(2\)-\((v, k, 1)\) designs admitting automorphism groups with socle \(\mathrm{Sz}(q)\), Sporadic groups and automorphisms of linear spaces, Unsolvable block transitive automorphism groups of \(2-(v,k,1)(k=6,7,8,9)\) designs, The classification of finite linear spaces with flag-transitive automorphism groups of affine type, A generalisation of \(t\)-designs, Automorphism groups of block designs which are block transitive

Cites Work

• Solvability of groups of odd order
• Exponential 3/2-transitive permutation groups
• Intersection matrices for finite permutation groups
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