Classification of line-transitive point-imprimitive linear spaces with line size at most 12

DOI10.1007/s10623-007-9077-2zbMath1185.05032arXiv0704.2688OpenAlexW2102520362WikidataQ56987742 ScholiaQ56987742MaRDI QIDQ1008998

Cheryl E. Praeger, Shenglin Zhou

Publication date: 31 March 2009

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.2688

zbMATH Keywords

automorphism groupDesarguesian projective planesclassification of finite linear spacesline transitivitypoint imprimitivity

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)

Related Items (4)

Line-transitive point-imprimitive linear spaces with Fang-Li parameter \(\mathrm{gcd}(k, r)\) at most \(12\) ⋮ Line-transitive point-imprimitive linear spaces with Fang-Li parameter \(\operatorname{gcd}(k,r)\) at most ten ⋮ Line-transitive point-imprimitive linear spaces with number of points being a product of two primes ⋮ Finite line-transitive linear spaces: theory and search strategies

Uses Software

• GAP

Cites Work

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• Line-transitive point-imprimitive linear spaces: the grid case
• 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
• Block-transitive, point-imprimitive designs with \(\lambda \Relbar 1\)
• Inequalities involving the Delandtsheer--Doyen parameters for finite line-transitive linear spaces
• The Non-Existence of Finite Projective Planes of Order 10
• Line-Transitive Automorphism Groups of Linear Spaces

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