M＝A_5，A_6时Thompson猜想的证明

The Proof of the Conjecture of Thompson when M is A_5 or A_6

设Ｇ为有限群，Ｎ（Ｇ）＝｛ｎ｜Ｇ有共轭类Ｃ使｜Ｃ｜＝ｎ），Ｍ为非Ａｂｅｌ单群，证明了Ｍ为有限单群Ａ５，Ａ６时Ｔｈｏｍｐｓｏｎ猜想成立。

Let G be afinite group.N(G)= { n ∈ N | G has a conjugate class C such as |C|= n }. There is a conjecture of J, G. Thompson: Let G be a finite group,Z (G)=1,M is a non-Abelian simple group, ifN(G) =N(M ) .then See [2],the conjecture has been proved to be true when M is a sporadic simple group. It is proved that the conjecture is true when M= A5 or A6.