用元素阶的和刻画2pq阶群  

Characterization of Groups with Order 2pq by Sum of Element Orders

作　　者：孙晓敏[1] 曹洪平[1] 

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南大学学报（自然科学版）》2014年第12期56-60,共5页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11171364)

摘　　要：通过计算2pq阶群中各阶元的个数,得到了2pq阶群中所有元素阶的和,从而得出阶为2pq阶的群可由其阶和其所有元素阶的和唯一确定.By calculating the number of the elements of different orders ,the sum of element orders of groups with order 2 pq is obtained ,and thus the structure of groups of order 2 pq can be uniquely deter‐mined by the order of the group and the sum of element orders of the group .

关 键 词：有限群 元素阶的和 SYLOW子群 正规子群 

分 类 号：O152.1[理学—数学]