一类6p^2阶群的非交换图及其对群结构的影响  

The Non-Commuting Graph of a Class of Groups with Order and Its Influence on the Structure of Groups

作　　者：李丽[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）》2012年第6期69-73,共5页Journal of Southwest University(Natural Science Edition)

基　　金：重庆市自然科学基金资助项目(CSTC;2009BB8111)

摘　　要：研究一类固定阶非交换群G的非交换图和其结构之间的一些联系.证明了当p是奇素数,p≠3,且3(p-1)时,11个6p2阶非交换群G中,有5个可由其非交换图刻画,另外6个不能由其非交换图刻画.The paper studies the relationship between the non-commuting graph of a class of non-abelian groups with fixed order 6p2 and their structure. It studies the group G with order 6p2, where p is odd prime, p≠3 and 3 （p-1）. Of the 11 groups with order 6p2 , 5 can be characterized by their non-commu- ting graphs, but other 6 can not.

关 键 词：有限群 非交换图 中心化子 同构 

分 类 号：O152.1[理学—数学]