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1)  subquasigroup
子拟群
2)  quasiconvex subgroup
拟凸子群
1.
A σ-quasiconvex subgroup of an asynchronously combable group is also asynchronously combable,and furthermore,a σ-quasiconvex subgroup of an asynchronously combable group equipped with a departure function is also asynchronously combable equipped with a departure function.
证明了异步可梳群的σ-拟凸子群仍是异步可梳群,并且如果异步可梳群具有分离函数,则其σ-拟凸子群也具有分离函数。
3)  quasinormal subgroup
拟正规子群
4)  the lower near Frattini subgroup
下拟Frattini子群
5)  the upper near Frattini subgroup
上拟Frattini子群
6)  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。
补充资料:凸凸
1.高出貌。
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