具有给定共轭类长的有限群(Ⅱ)

Finite groups with give conjugacy class sizes (Ⅱ)

文章通过无中心有限群G的共轭类长集合cs(G)来刻画有限群A4和S4,得到下面的结果:如果cs(G)={1,3,4},则G≌A4;如果cs(G)={1,3,6,8},则G≌S4.

This paper characterizes the groups A 4 and S 4 by the set of conjugacy classes,and gets the following results： If cs（G） = { 1,3,4},then G ≌ A 4;If cs（G） = { 1,3,6,8},then G ≌ S 4.