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.