2‐(v,k,1) Designs Admitting a Primitive Rank 3 Automorphism Group of Affine Type: The Extraspecial and the Exceptional Classes

DOI10.1002/jcd.21402zbMath1331.05050OpenAlexW1933814557MaRDI QIDQ5744159

Alessandro Montinaro

Publication date: 17 February 2016

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.21402

zbMATH Keywords

orbitrank 3 group2-(\(v,k,1\)) design

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Other designs, configurations (05B30) Combinatorial aspects of finite geometries (05B25)

Related Items (6)

Alternating groups and point‐primitive linear spaces with number of points being squarefree ⋮ 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 ⋮ 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

Uses Software

• ATLAS Group Representations

Cites Work

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• On finite linear spaces with almost simple flag-transitive automorphism groups
• A classification of finite partial linear spaces with a primitive rank 3 automorphism group of grid type
• A classification of finite partial linear spaces with a primitive rank 3 automorphism group of almost simple type
• The Rank 3 Permutation Representations of the Finite Classical Groups
• The Finite Primitive Permutation Groups of Rank Three
• The Affine Permutation Groups of Rank Three
• Finite Permutation Groups and Finite Simple Groups
• Sporadic groups and automorphisms of linear spaces
• Solvable Primitive Permutation Groups of Low Rank
• On finite affine planes of rank 3
• The non-solvable rank 3 affine planes

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