关于群的正则子群的若干结果

Some Results on the Regular Subgroups of a Gromp

提出了类似于[1][2]的正则子群及特殊子群的概念，得到了它们的若干基本性质，通过这些性质刻划了子群格的完全分配性以及给出了任意群的子群又含有限多个极小子群的条件．

This paper puts forward the concepts of a regular subgronp and a special subgroup similar to paper[1] and [2], and proves some primary proptrties. By these properties, we discuss the complete distributivity of the lattice of all subgrowps of a growp, and give the condition that a subgronp of any gronp only contains finite minimal subgronps.