M(G)=2pq条件下的Thomopson问题

摘要

This paper discusses the solvability of the finite groups having elements of maximal order 2pq . Then, it gets that Thomopson question holds under a certain condition if | M(G) | = 2pq .%讨论了最高阶元素个数为2pq(其中p,q为不等的奇素数)的有限群,研究了这样的群在一定条件下的可解性,由此得Thomopson问题当|M(G)|=2pq时在一定条件下成立.