The exceptional case in a theorem of Bose and Shrikhande

Author:

de Witte Paul,Wallis Jennifer Seberry

Abstract

AbstractIt is shown that (n being an integer) any non-trivial finite linear space with n2- 1 points, all of degree at most n+1, is embeddable in a finite projective plane of order n. This generalizes a theorem of Bose and Shrikhande and settles the unsolved case n = 6.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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1. On the embedding of some linear spaces in finite projective planes;Journal of Geometry;2000-07

2. An improved bound for the embedding of linear spaces into projective planes;Geometriae Dedicata;1988-06

3. Linear spaces with line range {n−1, n, n + 1} and at most n2 points;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1980-12

4. EMBEDDING THE PSEUDOCOMPLEMENT OF A QUADRILATERAL IN A FINITE PROJECTIVE PLANE;Annals of the New York Academy of Sciences;1979-05

5. On a result of bose and shrikhande;Lecture Notes in Mathematics;1978

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