100阶以内的群的单性

The Simple Group within 100 Order

有限群尽管是只有有限个元素的群,然而其内容是非常丰富、非常深刻的.有限群不同于无限群之处在于其阶是一个正整数n,有限单群在有限群类中起"基本构件"的作用.文章利用初等群论的方法和Sylow定理,着重讨论了100阶以内的群的单性.

The finite groups are only groups of limited elements, but its content is very rich .The difference between finite group and boundless group lies in that its order is a positive integer. The finite simple group gets ＂basic component＂ effect in the theory of finite groups. This paper uses the elementary group theory method and Sylow theorem, mainly studies the simple group and non-simple group within 100 order.