单群的判定

Decision of the Simple Groups

基于正规闭包的性质,获得了有限单群的一个判定定理,由此设计出判断有限群是否为单群的算法,并借助于计算机给出了S3-S7的所有单子群.

According to the characters of Normal Closure, it gets a judging theorem ahout finite simple group, thus designs an algorithm to judge if a finite group is a finite simple group, and presents all the finite sim-pie groups of by the aid of computer.