两类Lie型单群与4-(v,k,2)设计

摘要

若D=(X,Β)是一个非平凡的4-(v,k,2)设计,G是D的一个区传递自同构群,如果G的基柱同构于李型单群Sz(q)或Re(q),则G不能是旗传递的.%Let D be a 4-(v,k,2) design, and G be a act block-transitively on the 4-(v,k,2) designs. If the socle of G is isomorphic to one of the simple groups of Lie type Sz(q) or Re(q) groups, then G is not flag transitive.