摘要
证明了命题 :(1)若G有一个指数为奇素数幂的超可解极大子群 ,则G可解 ;(2 )若G有一个指数为素数的超可解极大子群 ,则G可解 ;(3)若G有两个指数为不同素数的超可解极大子群 ,则G有Sylow塔 ;(4 )若G有 3个指数为不同素数的超可解极大子群 ,则G超可解 .
The main purpose of this paper is to show the following four statements:(1) if G has a supersolvable maximal subgroup with odd prime power index, then G is solvable, (2) if G has a supersolvable maximal subgroup of prime index, then G is solvable, (3) if G has two supersolvable maximal subgroups with different prime indices, then G has a sylowtower, (4) if G has three supersolvable maximal subgroups with different prime indices, then G is supersolvable.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
2002年第1期11-13,共3页
Journal of Sichuan Normal University（Natural Science）
