Algebraic properties of the canonical incidence matrix of a biplane
Copyright policy )Algebraic properties of the canonical incidence matrix of a biplane
Let B be a biplane of order k−2 represented by a canonical incidence matrix M. We prove that for the principal submatrix of order k−2 starting at the (k+1)st row and column of M there are at most k−2 values up to isomorphism. This result provides almost trivial classification of biplanes up to order 7.
- University of Zagreb Croatia
Incidence structure ; Finite geometry ; Biplane ; Finite projective plane ; Automorphism group, finite projective plane, automorphism group, Incidence structure, Automorphism group, Finite projective plane, biplane, finite geometry, Combinatorial aspects of finite geometries, Finite geometry, Biplane, incidence structure
Incidence structure ; Finite geometry ; Biplane ; Finite projective plane ; Automorphism group, finite projective plane, automorphism group, Incidence structure, Automorphism group, Finite projective plane, biplane, finite geometry, Combinatorial aspects of finite geometries, Finite geometry, Biplane, incidence structure
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