具有给定共轭类长的有限非可解群

摘要

Let G be a finite non-solvable group and Z(G)=1.If the non-central conjugacy-class-lengths of G are pq,pr2,qr2, then G(≌)A5.If the non-central conjugacy-class-lengths of G are 15,5p,15p,5p2,3p3,then G(≌)S5.%设G是有限非可解群且Z(G)=1.如果G的非中心共轭类长为pq,pr2,qr2,那么G同构于5次交错群A5;如果G的非中心共轭类长为15,5p,15p,5p2,3p3,那么G同构于5次对称群S5.