one-group model

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。