群中元素阶互素的性质及推广  

On the Nature and Promotion of Relatively Prime in Group Order

作　　者：姜琴 汪程[2] 袁力 JIANG-Qin;WANG-Cheng;YUAN-Li(School of Maths and Computer Science,Hanjiang Normal University,Shiyan 442000,China;Yunyang Middle School,Shiyan 442000,China)

机构地区：[1]汉江师范学院数学与计算机科学学院,湖北十堰442000 [2]十堰市郧阳中学,湖北十堰442000

出　　处：《汉江师范学院学报》2022年第6期1-3,共3页Journal of Hanjiang Normal University

基　　金：2022年湖北省高等学校优秀中青年科技创新团队计划项目“超网络的动力学及控制研究”(项目编号:T2022035)阶段性成果。

摘　　要：群中元素的阶对群的性质具有重要影响.通过对群中两个元素的阶互素并且可交换的性质进行梳理,分别将元素可交换的条件和元素阶互素的条件去掉,对原问题做进一步讨论,最后给出一个原问题的逆命题.The steps of elements in group are very important to the nature of the group.A study of the relatively prime of the two elements in a group and their exchangeable nature is done,and then the conditions for exchange and relatively prime are removed and the original question is further discussed,some conclusions are obtained,and an inverse proposition is proposed.

关 键 词：群 阶 互素 可交换 

分 类 号：O152.1[理学—数学]