摘要
文献[1]给出了一个群不可能表示成两个真子群的并.文章证明了存在一个群可以表示成3个真子群的并,并证明了一个有限交换G群如果能够表示成3个真子群的并,那么G中存在子群N使得G/N≌Z2×Z2.
In[1],it showed that there subgroups. There are some groups that are the is not a group which is the union of two proper union of three proper subgroups ,furthermore ,weshow that an abelian group G which is the union of three proper subgroups if and only if there is a subgroup Nsuch that G/N≌Z2×Z2.
出处
《太原师范学院学报（自然科学版）》
2008年第3期43-44,共2页
Journal of Taiyuan Normal University:Natural Science Edition
关键词
交换群
真子群
单群
abelian groups
proper subgroups
simple groups
