Let D be a triplane, i.e., a 2-(ν, k, 3) symmetric design, and G be a subgroup of the full automorphism group of D. In this paper we prove that if G is flag-transitive point-primitive, then the socle of G cannot be a...Let D be a triplane, i.e., a 2-(ν, k, 3) symmetric design, and G be a subgroup of the full automorphism group of D. In this paper we prove that if G is flag-transitive point-primitive, then the socle of G cannot be a sporadic simple group.展开更多
Let D be a nontrivial 2-(v, k, 3) symmetric design (triplane) and let G≤Aut(D) be flag-transitive and point-primitive. In this paper, we prove that if G is an affine group, then G≤AΓL1(q), where q is some power of ...Let D be a nontrivial 2-(v, k, 3) symmetric design (triplane) and let G≤Aut(D) be flag-transitive and point-primitive. In this paper, we prove that if G is an affine group, then G≤AΓL1(q), where q is some power of a prime p and p≥5.展开更多
A triplane is a(v,k,3)-symmetric design.Let G be a subgroup of the full automorphism group of a triplane D.In this paper we prove that if G is flag-transitive and point-primitive,then the socle of G cannot be a simple...A triplane is a(v,k,3)-symmetric design.Let G be a subgroup of the full automorphism group of a triplane D.In this paper we prove that if G is flag-transitive and point-primitive,then the socle of G cannot be a simple exceptional group of Lie type.展开更多
基金supported by Scientific Research Foundation for the Returned Overseas Scholars, Ministry of Education of China
文摘Let D be a triplane, i.e., a 2-(ν, k, 3) symmetric design, and G be a subgroup of the full automorphism group of D. In this paper we prove that if G is flag-transitive point-primitive, then the socle of G cannot be a sporadic simple group.
基金supported by National Natural Science Foundation of China (Grant No. 11071081)
文摘Let D be a nontrivial 2-(v, k, 3) symmetric design (triplane) and let G≤Aut(D) be flag-transitive and point-primitive. In this paper, we prove that if G is an affine group, then G≤AΓL1(q), where q is some power of a prime p and p≥5.
文摘A triplane is a(v,k,3)-symmetric design.Let G be a subgroup of the full automorphism group of a triplane D.In this paper we prove that if G is flag-transitive and point-primitive,then the socle of G cannot be a simple exceptional group of Lie type.
