摘要
In [1], by using the classification theorem of finite simple groups, Xiao generalized a Zassenhaus’conjecture, and proved the following theorem. Theorem. Let G be a finite group. Then G is nilpotent if and only if (ⅰ)N_G(G_p)/C_G(G_p)is a p-group, (?)p∈π(G), G_p∈Syl_p(G).
