具有指数p的子群的双循环群  

Dicyclic Groups with a Subgroup of Index p

作　　者：杨梅 苏映梅 YANG Mei;SU Yingmei(School of Mathematics,Yunnan Normal University,Kunming 650500,China)

机构地区：[1]云南师范大学数学学院,云南昆明650500

出　　处：《新乡学院学报》2024年第6期16-18,共3页Journal of Xinxiang University

摘　　要：研究了当有限群G是具有指数p的子群(即极大子群)的双循环群时的另一种结构,利用群G的2阶子群对循环子群的共轭作用导出了24阶双循环群的结构。Another structure is studied when the finite group G is a bicyclic group with exponential subgroup(i.e.maximal sub-group).The structure of the dicyclic group of order 24 is derived by using the conjugation of the order 2 subgroup of the group G to the cyclic subgroup.

关 键 词：Sylow p子群 循环群 双循环群 

分 类 号：O152[理学—数学]