中文摘要：

本文主要围绕p-换位子展开讨论，着重研究了p-中心，p-导群以及p-上、下中心群列的一些性质．此外，给出了p-上、下中心群列与上、下中心群列之间的区别与联系．

英文摘要：

In this paper we discuss the properties of p- commutator, in particular, the properties of p- center, p- derived group, upper and lower p- central series of p- groups. In addition, we give the relationship between upper, lower p- central series and upper, lower central series of p- groups.