对斯坦诺5设计的旗传递自同构群进行了讨论,得到了定理:设D=(X,Ω,I)是非平凡的斯坦诺5设计,D的自同构群G旗传递地作用在D上.若G是几乎单群,则G的基柱不是群Re(q).
Flag- transitive automorphism groups of Steiner 5 designs are studied, and the theorem is proved:Let D be a non- trivial Steiner 5 design, G ≤ Au + (D) be flag- transitive, if G is almost simple type then soc(G) is not group Re(q).