讨论了Suzuki群Sz(q)旗传递作用于斯坦诺5设计上,得到了定理:设D=(X,B,D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的基柱不同构于Suzuki群Sz(q).
Flag-transitivly automorphism groups of Steiner 5-designs were studied and the theorem was proved. Let D=(X,B,I) be a non-trivial Steiner 5-design, G≤Aut(D) be flag-transitive, if G is almost a simple type, then Soc(G) is not Suzuki group Sz(q) .