摘要
利用极大子群的正规指数的概念得到有限群为可解、超可解、π-幂零、幂零等若干充要条件,并推广了多个已知结果.
Using the concept of normal index, some necessary and sufficient conditions for a finite group G to be solvable, super-solvable, π-nilpotent and nilpotent are obtained and some of the known results are generalized.
出处
《北京建筑工程学院学报》
2007年第3期50-52,共3页
Journal of Beijing Institute of Civil Engineering and Architecture
关键词
有限群
正规指数
可解群
超可解群
幂零群
finite group
normal index
solvable group
super-solvable group
nilpotent group
