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

DOI10.1002/jcd.21879OpenAlexW4322503897MaRDI QIDQ6086202

Shenglin Zhou, Haiyan Guan

Publication date: 9 November 2023

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

Full work available at URL: https://doi.org/10.1002/jcd.21879

zbMATH Keywords

automorphism grouppoint-primitivefinite regular linear space

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Combinatorial aspects of finite geometries (05B25) Primitive groups (20B15) Finite geometry and special incidence structures (51Exx)

Cites Work

• Unnamed Item
• 2-\((v,k,1)\) designs with a point-primitive rank 3 automorphism group of affine type
• Geometric ABA-groups
• Homogeneous designs and geometric lattices
• Linear spaces with flag-transitive automorphism groups
• The classification of finite linear spaces with flag-transitive automorphism groups of affine type
• Alternating groups \(A_{n}\) and 2-\((v,k,1)\) designs.
• On finite linear spaces with almost simple flag-transitive automorphism groups
• Classification of point-primitive linear spaces with \(2pq\) points
• 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
• Alternating Groups Acting on Finite Linear Spaces
• THE PRIMITIVE PERMUTATION GROUPS OF SQUAREFREE DEGREE
• Point-primitive linear spaces with number of points being a product of two primes
• 2‐(v,k,1) Designs Admitting a Primitive Rank 3 Automorphism Group of Affine Type: The Extraspecial and the Exceptional Classes

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