1) weakly quasi-normal subgroup
弱拟正规群
2) 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。
3) weakly quasi-normal
弱拟正规
1.
The main purpose of the present paper is to prove the following some theorems: for a finite group G,if G satisfies one of the following conditions,then G is supersolvable;(1) A maximal and cyclic subgroup of G is weakly quasi-normal in G.
利用弱拟正规子群概念,经推导得到有限群超可解的几个充分条件。
2.
In this paper we discuss the influence on an original finite group G when its Sylow subgroups and other subgroups are weakly quasi-normal,then we obtain some sufficient conditions for supersoluability of group G.
主要讨论了群G的Sylow子群及其他子群的弱拟正规性对群的影响,从而得到原群G超可解的几个充分条件的定理:1)群G有指数为素数的可解正规子群H,若H的每个Sylow子群的极大子群在G中弱拟正规,则G超可解;2)群G有指数为素数的正规子群H,若H的Sylow子群及Sylow子群的2-极大子群皆在G内弱拟正规,则G超可解;3)设G=AB,A超可解,B是P-群,p=maxπ(G),若B与A的极大子群可交换且A弱拟正规于G,则G超可解;4)M为G的幂零极大子群,若M及其极大子群皆在G中弱拟正规,则G超可解。
4) quasi-normal group
拟正规群
5) weakly normal subgroup
弱正规子群
6) π-weak quasinormal
π-弱拟正规
1.
A subgorup K of a finite gorup G is said to be π-weak quasinormal in G if K permutes with all Sylow π-subgroups of G(J Sichuan Normal University:Natural Science,2002,25(4):441-444).
有限群G的一个子群K称为G的一个π-弱拟正规子群,如果K同G的所有Sylowπ-子群相乘可换(四川师范大学学报:自然科学版,2002,25(4):441-444)。
补充资料：局部正规群
局部正规群
locally normal group
局部正规群〔1优叨yl盆比比.Ign，平;加K幼研。.帅M幼研四rPyunal 一个群G，其中任何有限子集皆包含在G的一个有限正规子群(nonna】subgroup)中. 王杰译石生明校
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条