Line-transitive point-imprimitive linear spaces with Fang-Li parameter gcd(k, r) at most ten

Abstract

This paper is a further contribution to the classification of linetransitive finite linear spaces. We prove that if ℐ is a non-trivial finite linear space such that the Fang-Li parameter gcd(k, r) is 9 or 10, and the group G ⩽ Aut(ℐ) is line-transitive and point-imprimitive, then ℐ is the Desarguesian projective plane PG(2, 9).

Keywords

Linear space / line-transitive / point-imprimitive

References

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