摘要
1 引言 有限群的可解性与不可解付一直主宰着群论研究的方向,其单复性研究是群论中的核心课题。1981年完成的有限单群分类是“数学领域中最著名的成就之一”,局部分忻(localgroup-theoretic analysis)是在完成这一伟大工作中起着决定作用的方法之一.
Since the publications of famous Burnside Theorem (1901)and Frohenius Theorem (1901). for the need of probing into the constructions of finite groups and the important application in the theory of local group-theoretic analysis, many scientists have been found many necessary and sufficient conditions for p-nilpotence and the existence of normal π-complement in finite group theory from above two theorems, and many results they got have made and will continue to make deep influence on the research of finite group theory. In this paper, the authors summarize both results in the area and methods used by mathematicians in China and other countries. This paper includes five sections:J. Introduction; 2. Transfer homomorphism and normal p-complement; 3. Bp-groups; 4 . Character theory and normal p complement; 5. Normal complement.
出处
《数学进展》
CSCD
北大核心
1992年第4期398-412,共15页
Advances in Mathematics（China）
