有限群的Sylow-子群与有限群的单性

Sylow Subgroups and the Simplicity of Finite Groups

本文利用给定阶有限群中一个Sylow子群的性质 ,确定了该群中所有Sylow子群及其正规化子的结构和性质 ,并从而证明了所给群的单性 .

In terms of Sylow Theorem,we investigate the fini te group g of order 1 75560,and with certain normality conditions,we show that G is a simple group.