This paper is a further contribution to the classification of line- transitive finite linear spaces. We prove that if y is a non-trivial finite linear space such that the Fang-Li parameter gcd（k, r） is 9 or 10, and ...This paper is a further contribution to the classification of line- transitive finite linear spaces. We prove that if y 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（Y） is line-transitive and point-imprimitive, then y is the Desarguesian projective plane PG（2, 9）.展开更多
Let G be a subgroup of the automorphism group of a non-trivial finite linear space $. In this paper we prove that if G is line-primitive with Fang-Li parameter gcd（k, r） = 11 and 12, then G is also point-primitive. ...Let G be a subgroup of the automorphism group of a non-trivial finite linear space $. In this paper we prove that if G is line-primitive with Fang-Li parameter gcd（k, r） = 11 and 12, then G is also point-primitive. This extends the results of Fang and Li （1993） and Li and Liu （2001） which combined gives the result for gcd（k,r） ≤ 10.展开更多
文摘This paper is a further contribution to the classification of line- transitive finite linear spaces. We prove that if y 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（Y） is line-transitive and point-imprimitive, then y is the Desarguesian projective plane PG（2, 9）.
文摘Let G be a subgroup of the automorphism group of a non-trivial finite linear space $. In this paper we prove that if G is line-primitive with Fang-Li parameter gcd（k, r） = 11 and 12, then G is also point-primitive. This extends the results of Fang and Li （1993） and Li and Liu （2001） which combined gives the result for gcd（k,r） ≤ 10.
