摘要
介绍了等价关系与子群的关系,并由此推导出同余关系与不变子群的等价定理,从而进一步加深对等价关系、同余关系、子群、不变子群以及商群的理解.
This paper introduces the relationship between equivalence relation and subgroup, and from this equivalence law between congruence and normal subgroup can be deduced, The aim of this paper is to get a deeper understanding of equivalence relation, congruence, subgroup, normal subgroup and quotient group.
关键词
等价关系
子群
同余关系
不变子群
商群
equivalence relation
subgroup
congruence
normal subgroup
quotient group.