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。
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
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。
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。
The Influence of CS-quasinormality of Some Subgroups on the Structure of Finite Groups
CS-拟正规子群对有限群结构的影响
SS-Quasinormal Subgoups and Solvability of Finite Groups
SS-拟正规子群与有限群的可解性
The Influence of S-quasinormal Subgroups on the Structure of Finite Groups
S-拟正规子群对有限群结构的影响
The Influence of Some s-quasinormal Subgroups on the Structure of a Finite Group
某些s-拟正规子群对有限群结构的影响
On the Self-Conjugate-Permutable Subgroups and SS-Quasinormal Subgroups to the Influnce of the Structure of Finite Groups;
关于自共轭置换子群和_(SS-)拟正规子群对有限群结构的影响
The Influence of (?)-subgroups, π-quasinormally Embedded Subgroups and (?)-subgroups on the Structure of Finite Groups;
(?)-子群,π-拟正规嵌入子群和(?)-子群对有限群结构的影响
THE e-PAIRS FOR MAXIMAL SUBGROUPS AND C-NORMAL SUBGROUPS;
有限群极大子群θ-子群偶与C-正规子群
The Normalizer of Hall Subgroups and the Structure of Finite Groups
Hall-子群的正规化子与有限群结构
The Influence of C-normality and θ-pairs of Subgroups on the Structure of Finite Groups;
子群的C-正规性、θ-子群偶对有限群结构的影响
Afinite group when its sylow groups s maximal subgroups are m-normal;
sylow子群的极大子群都在G内m-正规的有限群
The Influence of c~*-normal Subgroups and H-Subgroups on the Structure of Finite Groups
c~*-正规子群和H-子群对有限群结构的影响
The Influence of Normal Index and S-normality of Subgroups on the Structure of Finite Groups;
子群的正规指数、子群的S-正规性对有限群结构的影响
The Influence of Normal Properties and θ-pairs of Subgroups on Groups;
子群的正规性质及θ-偶对群的影响
The Influence of C~*-Normal Subgroups on the Structure of Finite Groups;
子群的C~*-正规性对有限群结构的影响
The Influence of Conditional C-normal Subgroups on the Structure of Finite Groupst;
条件c-正规子群对有限群结构的影响
The Number of the Orders of Non-normal Subgroups and the Structure of Finite Groups;
非正规子群阶的个数与有限群的结构
On m-Normal Subgroups in Finite Groups;
Sylow子群全是m-正规的有限群
Character of group which only have n nontrivial normal subgroups
仅含n个非平凡正规子群的群的特征