摘要
讨论了有限群和它的标准西洛子群的关系,证明了若有限群G的标准西洛子群幂零,则群G幂零的结论.
This article first discusses the relationship between finite group and its canonical Sylow subgroup, then demonstrates the conclusion that if the canonical Sylow P subgroup of finite groups is nilpotent, the group G also is nilpotent.
基金
伊犁师范学院中青年教师科研基金课题
关键词
标准西洛子群
幂零
可解
canonical sylow subgroup
nilpotent
solvable