Classification of line-transitive point-imprimitive linear spaces with line size at most 12

Details Classification of line-transitive point-imprimitive linear spaces with line size at most 12 Classification of line-transitive point-imprimitive linear spaces with line size at most 12

2007-04-20

arxiv.org/abs/0704.2688v1

Mathematics

Combinatorics

16 pages

Scientific paper

In this paper we complete a classification of finite linear spaces $\cS$ with
line size at most 12 admitting a line-transitive point-imprimitive subgroup of
automorphisms. The examples are the Desarguesian projective planes of orders
$4,7, 9$ and 11, two designs on 91 points with line size 6, and 467 designs on
729 points with line size 8.

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