摘要
证明了定理 :设有限群G的每个非Abel单截段均含有 10阶元 ,则G是π′ 闭群当且仅当G是π
In this paper, it is proved that if e very nonabelian simple intersection of finite group G contains elements of o rder 10, then G is π′-closed if and only if G is π-homogeneous.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
2000年第6期578-579,共2页
Journal of Sichuan Normal University(Natural Science)
关键词
π′-闭群
π-齐次群
截段
极小单群
π′-closed group
π-homog eneous group
Intersection
Minimal simple group