有限群为ρ-幂零群的一些充要条件

THE NECESSARY AND SUFFICIENT CONDITIONS FOR A FINITE GROUP AS p NILPOTENT

在文献[1]研究Ⅱ-超中心的基础上,取Ⅱ={p},即利用p-超中心得到了ρ-幂零群的另外一些充要条件,并推广了文献[2]介绍的ITo定理.

There have been many results in the field of p-nilpotent group research, based on reference[1], in which Π-hypercenter is studied, let Π={p}.by the use of p-hypercenter, another necessary and sufficient conditions for p-nilpotent group can be obtained. The result of reference[2] is generalized.