It is proved that simple groups G\-2(q) of Lie type are uniquely determined by their order components.
用阶分量刻划单群并证明了李型单群G2 (q)也可由阶分量刻画 。
In this paper,we proved that the non-simple groups SL(2,q)(q=p￣n>3)canbe characterized by using only the set of the orders of their maximal subgroups.
本文证明了非单群系列ＳＬ（２，ｑ）（ｑ＝ｐ￣ｎ＞３）可以仅用其极大子群阶之集来刻划，从而得到了ＳＬ（２，ｑ）的一个特征性质。
In this paper, we determine all finite C_(pp) simple groups, where p is a prime and p=2~α5~β+1,α,βare nonnegative integers.
本文定出了所有的有限C_(pp)单群，其中p是素数，且p=2~α5~β+1，α，β为非负整数。
Characterization of Sporadic Simple Groups with the Orders of Groups and the Sets of Indexes of Maximal Subgroups;
用阶和极大子群指数之集刻划散在单群
A subgroup chain of the lie type simple group PSL(k,F);
Lie型单群PSL(k,F)的一个子群链
(1) If n>3 and n≠6,Aut(An) has a subgroup which is a sub-simple group.
分析了几类特殊有限群的自同构群的次单性,得到了以下结论:(1)若n>3且n≠6,Aut(An)均含有一个子群是次单群;(2)按照循环群Zn的阶的几种不同情况讨论了Aut(Zn)在哪些情况下包含一个子群是次单群,并给出了判定阶为pi,2pi(p为素数)的循环群的自同构群是否含有子群是次单群的计算机实现。
Some conclusions of finitesub-simple groups;
关于有限次单群的几个结论
(1) If n>3 and n≠6,Aut(An) has a subgroup which is a sub-simple group.
分析了几类特殊有限群的自同构群的次单性,得到了以下结论:(1)若n>3且n≠6,Aut(An)均含有一个子群是次单群;(2)按照循环群Zn的阶的几种不同情况讨论了Aut(Zn)在哪些情况下包含一个子群是次单群,并给出了判定阶为pi,2pi(p为素数)的循环群的自同构群是否含有子群是次单群的计算机实现。
The case of two types of almost simple groups acting flag-transitivly on the Steiner 5-designs is discussed,the results are as follows: let D=(X,Β,I) be a non-trivial Steiner 5-design,and G be a flagtransitive Automorphism group of D,if G is almost simple type,then Soc(G) is not isomorphic to HS group and CO3 group.
对两类几乎单群旗传递作用于斯坦诺5-设计上的情况进行了讨论,得到了:设D=(X,,ΒI)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。
In Chapter 3 and Chapter 4, we discuss almost simple groups and line-transitive spaces: Let S = (P,L), G≤Aut(S), and T(?)G≤Aut(T), where T is a finite simple groups.
在第三章和第四章中，我们考虑几乎单群和区传递的问题：给定线性空间S=(P，L)和群G≤Aut(S)，使得T(?)G≤Aut(T)，这里T是一个有限单群。