Finite groups whose every non-super-solvable maximal subgroup is of prime power index

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- Finite groups whose every non-super-solvable maximal subgroup is of prime power index
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 56, Issue 2, Pages: 57-61(2017)
- 作者机构：
  
  1. 郑州航空工业管理学院理学院,河南,郑州,450015
  2. 
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2017，
  
  Published Online：25 March 2017，
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LI Shiheng, ZHAO Xianhe. Finite groups whose every non-super-solvable maximal subgroup is of prime power index. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 56(2):57-61(2017)
DOI：

LI Shiheng, ZHAO Xianhe. Finite groups whose every non-super-solvable maximal subgroup is of prime power index. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 56(2):57-61(2017) DOI：

如果有限群G的每个非超可解群极大子群的指数均为素数幂，那么G的合成因子为素数阶群或同构于下列单群：A

PSL(2

8)，PSL(2

11)，PSL(2

p)，其中p为奇素数且p≡±1(8)。

Let G be a finite group. If |G∶M| is of prime power for every nonsupersolvable maximal subgroup M of G

then any composition factor of G is of prime order or isomorphic to one of the following: A

PSL(2

11) and PSL(2

where p is a prime and p≡±1(8).

有限群非超可解极大子群几乎单群

finite groupsnon-supersolvable groupmaximal subgroupalmost simple groups

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