北京邮电大学 离散数学下 群论 作业错题讲解(6)

北京邮电大学离散数学群论作业详解

群论9.1-9.2 Ex1: Let G be a group. For

a,b∈G,we say that b is conjugate to a,written by b~a, if there exist g∈G such that b=gag-1.show that ~ is a equivalence relation on G. The equivalence classes of are called the conjugacy classes of G.

proof: (1)reflexive a=eae, so a~a;

(2)symmetric If b~a, then b=gag-1,

a=eae=g-1gag-1g=g-1bg.so a~b.

(3)transitive suppose a~b and b~c,

a=gbg-1 ,b=h ch-1; so a=ghch-1g-1=(gh)c(gh)-1

百度搜索“77cn”或“免费范文网”即可找到本站免费阅读全部范文。收藏本站方便下次阅读，免费范文网，提供经典小说教育文库北京邮电大学 离散数学下 群论 作业错题讲解(6)在线全文阅读。