Line-transitive point-imprimitive linear spaces with Fang-Li parameter gcd(k,r) at most 10
Combinatorics
2011-12-16 v1 Group Theory
Abstract
This paper is a further contribution to the classification of line-transitive finite linear spaces. We prove that if S is a non-trivial finite linear space with the Fang-Li parameter gcd(k,r) is 9 or 10, the automorphism group G of S is line-transitive and point-imprimitive, then S is the Desarguesian projective plane PG(2,9).
Keywords
Cite
@article{arxiv.1112.3432,
title = {Line-transitive point-imprimitive linear spaces with Fang-Li parameter gcd(k,r) at most 10},
author = {Haiyan Guan and Delu Tian and Shenglin Zhou},
journal= {arXiv preprint arXiv:1112.3432},
year = {2011}
}
Comments
18 pages, 2 tables