A classification of finite partial linear spaces with a primitive rank 3 automorphism group of grid type

DOI10.1016/j.ejc.2006.09.003zbMath1128.51004OpenAlexW2057598566MaRDI QIDQ2462338

Alice Devillers

Publication date: 30 November 2007

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2006.09.003

zbMATH Keywords

partial linear spaceautomorphism group of grid type

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Primitive groups (20B15) Other finite incidence structures (geometric aspects) (51E30)

Related Items (11)

Rank three innately transitive permutation groups and related 2-transitive groups ⋮ Alternating groups and point‐primitive linear spaces with number of points being squarefree ⋮ Pentavalent vertex-transitive diameter two graphs ⋮ 2-\((v,k,1)\) designs with a point-primitive rank 3 automorphism group of affine type ⋮ Classification of point-primitive linear spaces with \(2pq\) points ⋮ Extremely primitive groups and linear spaces ⋮ 2‐(v,k,1) Designs Admitting a Primitive Rank 3 Automorphism Group of Affine Type: The Extraspecial and the Exceptional Classes ⋮ Examples of rank 3 product action transitive decompositions ⋮ Partial linear spaces with a rank 3 affine primitive group of automorphisms ⋮ Point-primitive linear spaces with number of points being a product of two primes ⋮ Vertex-transitive diameter two graphs

Cites Work

• Homogeneous designs and geometric lattices
• Unnamed Item

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