同阶子群个数之集为{1,3,4}的有限群

Finite Groups Whose Set of Numbers of Subgroups of Possible Order is {1,3,4}

设G是一个有限群.n(G)表示群G中所有同阶子群的个数组成的集合.得出了当n(G)={1,3,4}时G的所有Sylow子群的结构.

Let G be a finite group, and n（G） the set of the numbers of subgroups of possible order of G. In this paper we get the detailed structure of the Sylow subgroups of G satisfying that n（G）= { 1, 3, 4}.