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Finite linear spaces with two consecutive line degrees

โœ Scribed by Paul Witte; Lynn Margaret Batten

Publisher
Springer
Year
1983
Tongue
English
Weight
490 KB
Volume
14
Category
Article
ISSN
0046-5755

No coin nor oath required. For personal study only.

โœฆ Synopsis

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<~n2+n-1 and n~>3; n2+n+2<~p<<.n2+2n-1 and n~>3; p=n2+2n and n~>4; p=n 2 +2n + 2and n ~>3;p =n 2 + 2n + 3andn t>4.

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