By using the properties of π-hypercenter and π-homogeneous, some sufficient and necessary conditions for a finite group to be π-nilpotent are obtained. And some well-known theorems are generalized.
By using the properties of π-hypercenter and π-homogeneous, some sufficient and necessary conditions for a finite group to be π-nilpotent are obtained. And some well-known theorems are generalized.
摘要利用π-超中心和π-齐次性的性质，对π-幂零群作了较详尽的研究，得到了有限群为π-幂零群的几个充要条件，推广了一些著名的定理。