Thompson问题的一个推广

Generation of A Thompson's Theorem

证明了对于有限群G及素数p,假设定义α∈Aut(G)且dp=1.如果对于任意G中元g有ggα…gαp-1=1,则G幂零.此结果推广了Thompson的经典结果.

In this paper, we proved that for finite group G and prime p,if for all elements g and an auto- morphism a of grder p of G,holds, then G is nilpotent.This result is a generation of a Thompson＇s theorem.