About Character ¦Ð-theory Some Results

In this paper, we make a further discussion ofπ-theory ofπ-separable group by basing on the results of previous studies. In chapter 2, we define the concept of finite groupπ-center, and discuss the relationship ofπ-center andπ-special characteristics, give a sufficient and necessary condition of normalπ-complement of finite group; In chapter 3, the compatibility ofπ-subgroup is defined and some basic properties of it are given; In chapter 4, we discuss compatibility of defect proup ofπ-subgroup, some classical conclusions of compatibility of p-block are gene-ralized.