关于π-块覆盖的一些性质

Some properties of π-block coverings

在已有的研究结果基础上,对π-块理论做了进一步的探讨,证明了π-块覆盖的传递性以及π-块覆盖的一些性质,推广了p-可分群下p-块理论的一些著名定理。

Based on existing results in the literature, the theory of π--block coverings is further discussed. Some proper- ties of π-block coverings are obtained and the transitivity of π--block coverings is proved, which generalizes some known theorems on p-block theory of p-separable groups.