Projective planes of order \(q\) whose collineation groups have order \(q^ 2\)

DOI10.1023/A:1022464027664zbMath0810.51002MaRDI QIDQ1337043

William M. Kantor

Publication date: 8 November 1994

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

zbMATH Keywords

projective planecollineation group

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Finite affine and projective planes (geometric aspects) (51E15) Non-Desarguesian affine and projective planes (51A35)

Related Items (9)

Nilpotent Lie algebras of breadth type (0, 3) ⋮ Kerdock codes and related planes ⋮ Symplectic semifield planes and ℤ₄–linear codes ⋮ Two-transitive ovals ⋮ Polarities of shift planes ⋮ Nearly flag-transitive affine planes ⋮ Completely regular ovals ⋮ MUBs inequivalence and affine planes ⋮ Symplectic spreads, planar functions, and mutually unbiased bases

Cites Work

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• A non-symmetric translation plane of order \(17^ 2\)
• Endliche zweifach transitive Permutationsgruppen, deren Involutionen keine Fixpunkte haben
• Nearly perfect binary codes
• Line-transitive collineation groups of finite projective spaces
• An exponential number of generalized Kerdock codes
• Spreads, Translation Planes and Kerdock Sets. II
• Spreads, Translation Planes and Kerdock Sets. I

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