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The exceptional case in a theorem of Bose and Shrikhande

Published online by Cambridge University Press:  09 April 2009

Paul de Witte  and
Jennifer Seberry Wallis
Paul de Witte
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, Onthario, N2L 3G1, Canada.
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Abstract

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It 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.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 24 , Issue 1 , August 1977 , pp. 64 - 78
Copyright
Copyright © Australian Mathematical Society 1977

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