quasinormal meaning in English
拟似正常
拟正规的
Examples
- The fluence of weakly quasinormal subgroups on the structure of finite group
弱拟正规子群对有限群结构的影响 - This paper deals with some kinds of weakly quasinormal subgroups to obtain a series of sufficient conditions which imply a finite group to be supersolvable
摘要利用弱拟正规子群，得到有限群成为超可解群的一系列充分条件。 - Some results are the following : ( 1 ) letg be a finite group having two maximal subgroups that are solvable and not conjugate ing . if the maximal subgroups are weakly quasinormal ing , then g is solvable
本文主要获得了下列结论： ( 1 )若群g有两个不共轭的可解极大子群均在g中弱拟正规，则g可解。 - ( 7 ) assume thatg has two nilpotent maximal subgroups not conjugate ing , which are weakly quasinormal ing , then g is nilpotent if and only if g has no section isomorphic to d , where d is identical with one in ( 6 )
( 7 )若群g存在两个不共轭的幂零极大子群均在g中弱拟正规，则g幂零当且仅当g与d型群无关，其中d型群的定义同( 6 )中d型群的定义。 - We define the concepts : weakly quasinormal subgroup and s - weakly quasinormal subgroup and come to some new criteria of solvability , supersolvability and nilpotence of finite groups under the assumptions that the groups have some kinds of weakly quasinormal or 5 - weakly quasinormal subgroups
本文利用弱拟正规子群及s -弱拟正规子群来研究有限群的结构，得到了有限群的可解性、超可解性以及幂零性的一些新刻画。