Finite linear spaces with two consecutive line degrees |
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Authors: | Paul de Witte Lynn Margaret Batten |
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Institution: | 1. Mathematics Department, Westfield College, Kidderpore Avenue, NW3 7ST, London, England
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Abstract: | Let L be a non-trivial finite linear space in which every line has n or n+1 points. We describe L completely subject to the following restrictions on n and on the number of points p: p≤n 2+n?1 and n≥3; n 2+n+2≤p≤n 2+2n?1 and n≥3; p=n 2+2n and n≥4; p=n 2+2n+2 and n≥3; p=n 2+2n+3 and n≥4. |
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