Line-transitive point-imprimitive linear spaces with number of points being a product of two primes

DOI10.1142/S0219498817501109zbMath1364.05016OpenAlexW2472548239MaRDI QIDQ5739080

Shenglin Zhou, Haiyan Guan

Publication date: 2 June 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498817501109

zbMATH Keywords

line-transitivefinite linear spacespoint-imprimitive

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Combinatorial aspects of finite geometries (05B25) Primitive groups (20B15)

Uses Software

• GAP

Cites Work

• The group of automorphisms of a transitive 2-(91,6,1) design
• Line-transitive point-imprimitive linear spaces: the grid case
• Classification of line-transitive point-imprimitive linear spaces with line size at most 12
• Finite line-transitive linear spaces: theory and search strategies
• Most block-transitive t-designs are point-primitive
• Block transitive automorphism groups of 2-(v,k,1) block designs
• The block-transitive, point-imprimitive 2-(729,8,1) designs
• Vertex-primitive graphs of order a product of two distinct primes
• The Ree groups \(^2G_2(q)\) and \(2\)-\((v,k,1)\) block designs
• Line-primitive automorphism groups of finite linear spaces
• Inequalities involving the Delandtsheer--Doyen parameters for finite line-transitive linear spaces
• Line-transitive automorphism groups of linear spaces
• Line-transitive point-imprimitive linear spaces with Fang-Li parameter \(\operatorname{gcd}(k,r)\) at most ten
• \(PSL(3,q)\) and line-transitive linear spaces
• Line-Transitive Automorphism Groups of Linear Spaces
• Alternating Groups Acting on Finite Linear Spaces
• Finite line-transitive linear spaces: parameters and normal point-partitions
• The rational function analogue of a question of Schur and exceptionality of permutation representations
• Transitive projective planes
• Endliche Gruppen I
• Line-transitive, point quasiprimitive automorphism groups of finite linear spaces are affine or almost simple.
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