1) quasi-normal group
拟正规群
2) weakly quasi-normal subgroup
弱拟正规群
4) weakly quasinormal subgroup
弱拟正规子群
1.
The influence of some weakly quasinormal subgroups on the solvability of finite groups;
某些弱拟正规子群对有限群可解性的影响
2.
Based on the definition and description of weakly quasinormal subgroup,some new criteria of nilpotency of finite groups were worked out under the assumptions that the groups contain some kinds of weakly quasinormal subgroups.
利用弱拟正规子群的概念,本文得到了关于有限群的幂零性的一些新刻画,给出了幂零群的一些充要条件。
3.
This paper came to some new criteria of the nilpotency of finite groups under the assumptions that the groups have some kinds of weakly quasinormal subgroups.
利用弱拟正规子群,得到了有限群的幂零性的一些新刻画,主要获得了下列结论:(1)设G存在幂零的极大子群M,若M及其极大子群均在G中弱拟正规,且G与D型群无关,则G幂零,其中D型群的定义为D=;(2)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(1)中D型群的定义。
5) LR-quasinormal-Ehresmann semigroup
LR-拟正规-Ehresmann半群
1.
LR-quasinormal-Ehresmann semigroups;
LR-拟正规-Ehresmann半群
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