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Linear spaces with line range {n−1, n, n + 1} and at most n2 points
Published online by Cambridge University Press: 09 April 2009
Abstract
We characterize all finite linear spaces with p ≤ n2 points where n ≥ 8 for p ≠ n2 − 1 and n ≥ 23 for p = n2−1, and the line range is {n−1, n, n+1}. All such linear spaces are shown to be embeddable in finite projective planes of order a function of n. We also describe the exceptional linear spaces arising from p < n2−1 and n ≥ 4.
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- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 30 , Issue 2 , December 1980 , pp. 215 - 228
- Copyright
- Copyright © Australian Mathematical Society 1980
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