Classification of point-primitive linear spaces with 2pq points

作者：Guan, Haiyan^*; Zhou, Shenglin

来源：BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2020, 27(3): 369-378.

• linear space
• design
• automorphism group
• point-primitive

This paper is a further contribution to the classification of point-primitive finite linear spaces. Let p, q be two primes. We prove that if S is a non-trivial finite linear space with 2pq points, and G <= Aut(S) is point-primitive, then G is line-transitive and S is the Ree unital U-R(3), or the Hermitian unital U-H(S).