摘要
证明了一个群能表示成三个真子群的并集的必要充分条件是它以Klein四元群为同态象,讨论了可表示为四个真子群的并集的群.
It is proved that a group can be written as a subset-union of three proper sub groups if and only if the group has a quotient group isomorphic to the Klein four group. And some remarks are made for the group which can be written as a subet-union of four prpoer subgroups.
出处
《华中师范大学学报（自然科学版）》
CAS
CSCD
2008年第1期1-3,11,共4页
Journal of Central China Normal University：Natural Sciences
基金
国家自然科学基金资助项目(10571067)
关键词
真子群
并集
Klein四元群
proper subgroup
union of subsets
Klein four group
