用元素阶的和刻画2pq阶群

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

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 .