【摘要】 对照有限群G的阶|G|对群G的影响,研究了G中元素的阶之集πe(G)对群G的作用.在这篇文章中,综述了相关的结果,提出了一些没有解决的问题.希望这些结果能应用到数学的其它领域、计算机科学和算法中去.更多还原

【Abstract】 By comparing the influence of the order |G| of finite groups G to the structure of G,the action of the set πe(G) of all orders of elements in G to groups G is researched. In this article,the relative results are surveyed,and some unsolved problems are posed. These results are expected to be applied to other branches of mathematics,computer science and algorithm.更多还原