摘要
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.
出处
《重庆师范学院学报(自然科学版)》
1996年第3期12-15,共4页
Journal of Chongqing Normal University(Natural Science Edition)