Orthomorphisms and the construction of projective planes

DOI10.1090/S0025-5718-03-01612-0zbMath1043.05027OpenAlexW2081297737MaRDI QIDQ4813596

Felix Lazebnik, Andrew G. Thomason

Publication date: 13 August 2004

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-03-01612-0

zbMATH Keywords

orthomorphismsfinite projective planesgroup of transltionsplane of Mathon

Mathematics Subject Classification ID

Graph theory (including graph drawing) in computer science (68R10) Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of finite geometries (05B25)

Related Items (7)

Classification by girth of three-dimensional algebraically defined monomial graphs over the real numbers ⋮ Connectivity of some algebraically defined digraphs ⋮ Unnamed Item ⋮ On monomial graphs of girth eight ⋮ On the girth of two-dimensional real algebraically defined graphs ⋮ On the girth of three-dimensional algebraically defined graphs with multiplicatively separable functions ⋮ Difference matrices with five rows over finite abelian groups

Uses Software

• nauty

Cites Work

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• On the Mathon plane
• Planes of order \(n\) with collineation groups of order \(n^ 2\)
• General properties of some families of graphs defined by systems of equations
• The number of permutation polynomials of the form f(x) cx over a finite field
• A note on finite abelian groups
• Orthomorphism graphs of groups

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