典型群PSp_n(q)与2-(v,k,1 )设计(英文)

THE CLASSICAL GROUP PSp_n(q) and 2-(v, k, 1) DESIGNS

设D是一 2 - (v ,k ,1)设计 ,G为D上的区传递 ,点本原且非旗传递的自同构群 .如果G =PSpn(q) (n≥ 14 ,q为偶数 ) ,则下列之一成立 :(1) GP∈C1且GP 不是SPm(q)⊥SPn-m(q)型的 (m≥ 4 ) ; (2 ) GP∈C8.

Let D be a 2-(v, k, 1) design, G ≤Aut(D) be block_transitive, point_primitive but not flat_transitive. If G=PSp n(q) , with n≥14 and q even, then one of the following holds: (1) G P ∈C 1 and G P is not of type Sp m(q)⊥Sp n-m (q) , with m≥4 ; (2) G P ∈C 8.