Finite Groups Admitting ap-Solvable Operator Group
Finite Groups Admitting ap-Solvable Operator Group
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DOI：
10.1006/jabr.1997.7351
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发表时间：
1998-06
影响因子：
0.9
通讯作者：
Yanming Wang
中科院分区：
文献类型：
--
作者：
Yanming Wang
Abstract LetGbe a finite group andHbe an operator group ofG. Suppose thatHis π(G)-solvable. ThenGis solvable ifGhas a nilpotent maximalH-invariant subgroupM, withM2having no quotient group isomorphic toD8. We also prove thatGis solvable, ifHacts non-trivially onGbut acts trivially on all properH-invariant subgroups in an appropriately chosen class subgroups. The detailed structure of such a groupGis determined.
