群论中Lagrange定理的推论  

Corollary of the Lagrange Theorem of Group Theory

作　　者：王天真[1] 付克德[1] 苟增光 

机构地区：[1]陕西师范大学物理系

出　　处：《陕西师大学报（自然科学版）》1990年第2期82-83,共2页Journal of Shaanxi Normal University(Natural Science Edition)

摘　　要：Lagrange定理:有限群的子群的阶,是有限群阶的整因子。即若群G={e,a,b,…}的阶为n,它的任一子群G_s的阶为n_s,则必有n=n_s·h,其中n,n_s,h均为正整数。推论1 有限群群元的周期是该群群阶的整因子。The lagrange theorem is discussed, five corollaries being obtained. The results show more direct and clearly the relation between the group order of finite group and the following factors, such as the period of group element, quality of subgroup, the existence of proper sub-group and the number of generators.

关 键 词：群论 LAGRANGE定理 有限群 阶 

分 类 号：O152.1[理学—数学]