具型不变量（e，1，1，1）的正则p－群的一个完全分类

A Classification for Regular p-groups with Type-invariants(e,1,1,1)

本文对具型不变量（ｅ，１，１，１），ｅ≥２的正则ｐ－群进行了分类，当ｐ＝３时共有１８个互不同构的群，当ｐ≥５时，如果（３，ｐ－１）＝１，那么共有３１个互不同构的群；如果（３，ｐ－１）＝３，那么这样的群共有３５个。

This paper gives a classificatin for regular p-groups with type-invariants(e,1,1,1)e≥2,If p=3,then there are altogether 18 groups that are not isomorphic to each other. For p≥5 if(p-1,3)=1 or(p-1,3)=3,there are altogether 31 groups or 35 groups respectively that are not isomorphic to each other.