位置：成果数据库 > 期刊 > 期刊详情页
弱s-可补子群对有限群结构的影响
  • ISSN号：1001-8735
  • 期刊名称：内蒙古师范大学学报(自然科学汉文版)
  • 时间：2012.7.15
  • 页码：360-362
  • 分类：O152.1[理学—数学;理学—基础数学]
  • 作者机构：[1]贵州师范大学数学与计算机科学学院,贵州贵阳550001, [2]苏州大学数学科学学院,江苏苏州215006
  • 相关基金：国家自然科学基金资助项目（11171243 10871032）; 江苏省自然科学基金资助项目（BK2008156）
  • 相关项目：有限群的数量性质与子群的广义正规性
作者： 郭桂容|黎先华|
关键词： 弱s-可补, P-幂零群, 极小子群, weakly -supplemented subgroups, p-nilpotent group, minimal subgroup
中文摘要：

设H是G的子群,称H为弱-可补的,如果存在G的子群T使得G=HT且H∩T≤H-sG,其中H-sG是由H的所有在G中s-半置换子群生成的群。本文讨论有限群G的极小子群及4阶循环子群的弱-可补性对有限群结构的影响,给出了群G的p-幂零性的几个充分条件。

英文摘要：

Let H be a subgroup of a finite group G.H is called weakly -supplemented if there exists asubgroup T of G such that G=TH and H∩T≤H-sG,where H-sG is the subgroup generalized by allsubgroups of H which are s-semipermutable in G.In this paper,the influence of minimal subgroups andsubgroups of order 4 which are weakly -supplemented in G on the structure of finite groups is studied,and several sufficient conditions of p-nilpotency of G are given.

同期刊论文项目
有限群的数量性质与子群的广义正规性
期刊论文 66
有限群的特征标理论及相关共轭不变量
期刊论文 75
群的结构及若干疑难问题研究
期刊论文 98 会议论文 1
同项目期刊论文
S φ-supplemented subgroups of finite groups
弱-可补子群对有限群结构的影响
弱s-置换子群与有限群的p-幂零性
Finite groups with some weakly s-supplementally embedded subgroups
FINITE p-GROUPS AND CENTRALIZERS OF NONCENTRAL ELEMENTS
On Hall subnormally embedded and generalized nilpotent groups
Finite Groups with Few Non-cyclic Subgroups II
A CRITERION OF p-NILPOTENCY OF FINITE GROUPS
ON PERMUTATION GROUPS OF DEGREE A PRODUCT OF TWO PRIME-POWERS
Weakly SS-Quasinormal Minimal Subgroups and the Nilpotency of a Finite Group
On Weakly Normal Subgroups of a Finite Group
ON THE F-RESIDUALS NORM OF A GROUP
A NOTE ON CLT-GROUPS
A Note on the Normal Index and the c-Section of Maximal Subgroups of a Finite Group
FINITE GROUPS WITHFEW TI-SUBGROUPS
GROUPS WITH FOUR CHARACTER DEGREES AND DERIVED LENGTH FOUR
A characterization of finite supersolvable groups
关于有限群的弱S-可补嵌入子群(英文)
Finite groups with some CAP-subgroups
CLT-Groups with Hall S-QuasinormallyEmbedded Subgroups
SUPER-pi-BRAUER CHARACTERS AND SUPER-pi-REGULAR CLASSES
The Indices of Subgroups of Finite Groups in the Joinof Their Conjugate Pairs
New Criteria of Supersolvability of Finite Groups
SYLOW NORMALIZERS AND p-NILPOTENCE OF FINITE GROUPS
关于SQ-补子群
On Weakly s-Semipermutable Subgroups of Finite Groups
F-可补子群对有限群结构的影响
s-Conditionally Permutable Subgroups and p-Nilpotency of Finite Groups
Second Maximal Subgroups of a Sylow p-Subgroup and the p-Nilpotency of Finite Groups
On a class of generalised Schmidt groups
m-embedded subgroups and p-nilpotency of finite groups
Normalizer of Sylow subgroups and the structure of a finite group
Automorphisms of linear spaces and groups E-2(6) (q)
Unsolvable Block-Transitive Automorphism Groups of 2-(v, 31, 1) Designs
Block-transitive 2-(v, k, 1) designs and the Chevalley groups F_4(q)
On the II-property of subgroups of finite groups
s-拟正规嵌入子群与有限群的_χΦ-中心性
有极大次数的传递置换群
On indices of subgroups in the join of their conjugate pairs
CLT-groups with normal or abnormal subgroups
Finite Groups with H-Subgroups
Solvable groups which do not possess characters of nontrivial prime power degree
有限群超可解性的一个新刻画
弱S-嵌入子群与有限群的P-幂零性
关于有限群的C^＊-正规子群
半群O_（n,r）的秩
实特征标和实表示
子群交换度对群结构的影响
几类广义正规性关系的一些注记
On Weakly s-Semipermutable Subgroups of Finite Groups
OD-CHARACTERIZATION OF ALMOST SIMPLE GROUPS RELATED TO U_6(2)
弱s-置换子群与有限群的p-幂零性
A character theoretic criterion for p-closed group
On the normal index and the c-section of maximal subgroups of a finite group
Finite groups with normally embedded subgroups
Semi-cover-avoiding properties of finite groups
Two results related to the solvability of M-groups
A new characterization of $A_5$
On zeros of characters of finite groups
OD-characterization of Almost Simple Groups Related to $U_3(5)$
L_4(4)的非交换图刻画
Finite groups whose monolithic characters vanish on at most two conjugacy classes
Finite groups all of whose second maximal subgroups are psc-groups
Recognition of some simple groups by their noncommuting graphs
Maximal subgroups of a Sylow p-subgroup and p-nilpotency of finite groups
Finite nonsolvable groups whose character graphs have no triangles
具有一个很大交换子群的有限非可解群
On the normal indices of proper subgroups of finite groups
Finite p-groups all of whose proper subgroups have small derived subgroups
S-quasinormality of finite groups
Conjugacy separability of Generalized Free Products of Finitely Generated Nilpotent Groups
SS-quasinorma subgroups of finite groups
Finite groups with unique n-maximal subgroup
Weakly normal subgroups of finite groups
有极大次数的传递置换群
A note on p-nilpotence and solvability of finite groups
Finite groups with some H-subgroups
关于Thompson猜想与AAM猜想(英文)
有限群的PCM子群
特征标次数素图中不含三角形的单群
A Graph Associated with |cd(G)| − 1 Degrees of a Solvable Group
FINITE p-GROUPS WITH NON-NORMAL SUBGROUPS OF INDEX p IN THEIR NORMALIZERS
Minimal inner-Sigma - Omega-groups and their applications
WEAKLY s-SUPPLEMENTALLY EMBEDDED MINIMAL SUBGROUPS OF FINITE GROUPS
恰有两个子群共轭类长的有限群
Finite groups with some pronormal subgroups
Some sufficient conditions on the number of non-abelian subgroups of a finite group to be solvable
Characterization of Aut(J2) and Aut(McL) by Their Non-commuting Graphs
OD-characterization of simple K4-groups
New characterization of $S_4(q)$ by its noncommuting graph
The Type of Conjugacy Classes of Maximal Subgroups and Characterization of Finite Groups
On periodic groups with prescribed orders of elements
Noncommuting graph characterization of some simple groups with connected prime graphs
Two sufficient conditions for vertex-transitive Hamilton graphs of prime-power order
On class sizes of p-singular elements in finite groups
Product of some elements of finite groups
Recognition of some finite simple groups of type $D_n(q)$ by spectrum
有限群共轭类长的一个注记
A new characterization of $U_4(7)$ by its noncommuting graph
Weakly s-semipermutable subgroups of finite groups
On CISE-normal subgroups of finite groups
"关于Thompson 问题"(《中国科学: 数学》2010 年40 卷第6 期) 一文的更正
A new kind of generalized normality in finite groups
能表示成四个真子群并的有限群
交错群和对称群的一个新刻画
L15（2）的新刻画
特征标次数集是由1，一些素数和一个奇素数幂组成的有限群
关于极大子群共轭类型的若干结果
有限群的PCM-子群
关于共轭极大子群的一个注记
用τ_e（L_2（2~5））刻画L_2（2~5）（英文）
关于有限群的共轭置换子群
极小子群与有限群的结构研究
有限群的p-幂零性的一个判定定理
La（4）的非交换图刻画
最高阶元素个数为6p^m的有限群
Об автоморфизмах накрытий сильно регулярного графа с параметрами (81, 20, 1, 6)
Finite groups with given s-embedded and n-embedded subgroups
Po Power Integral Bases of Cyclotomic Field Q(Zeta_40)
New characterizations of finite supersoluble groups
On Some Frattini-like Subgroups of Amalgamated Free Products of Groups
The influence of s-conditionally permutable subgroups on finite groups
Minimal Non-FO-groups
On Quasisupersoluble and p-Quasisupersoluble Finite Groups
Automorphisms of Terwilliger graphs with $\mu=2$
The influence of X-semipermutability of subgroups on the structure of finite groups,
Finite groups with some given systems of Xm-semipermutable subgroups
关于广义置换子群理论中的一些公开问题
On Some Properties of FC-groups.
具有X-s-半置换的准素子群的有限群
On X-permutable subgroups of finite groups
O Fh-normal subgroups of finite groups
Conditions for p-supersolubility and p-nilpotency of finite soluble groups
S-embedded subgroups of finite groups
On finite quasi-?-groups
On Fh-normal subgroups of finite groups
Criteria of Existence of Hall Subgroups in Non-soluble Finite Groups
The influence of X-s-semiper- mutable subgroups on the structure of finite groups
群的融合自由积的几种广义Frattini子群
The structure of finite non-nilpotent groups in which every 2-maximal subgroup permutes with all 3-m
On Injectors of finite soluble groups
The πNear Frattini Subgroups of Infinite groups
Some new criteria for p-nilpotency of finite groups
群的遗传根性和强半单根性
Description of F-injectors of finite soluble groups
S-C-permutably embedded sub- groups of finite groups
Products of finite supersoluble groups
Problems related to the Lockett conjecture on Fitting classes of finite groups
τ-primitive subgroups of finite groups
两种由元素性质所确定的群的根性
超可解群的几个充分条件
On some classes of finite quasi- F-groups
On some open questions in theory of generalized permutable subgroups
Weakly c-permutable subgroups of finite groups
Finite groups in which the normalizers of Sylow 3-subgroups are of odd or primary index
Automorphisms of coverings of the strongly regular graphs with parameters (81,20,1,6)
Finite groups in which Sylow normalizers have nilpotent Hall supplements
Nearly s-Normality of Groups and Its Properties
Finite Groups in Which Every 3-Maximal Subgroup Commutes with All Maximal Subgroups
On F-supplemented subgroups of finite groups,
On solubility and supersolubility of some classes of finite groups
Some ideas and results in group theory
Finite Groups with seminormal Sylow subgroups
有 有限超可解群的新描述
关于有限群的S-C-置换嵌入子群的新探索
超可解群的两个判别准则
Nearly s-normal subgroups of a finite group
超可解群的若干充分条件
Permutable products of finite supersoluble groups
Two sufficient conditions for supersolubility of finite groups
Конечные группы, в которых каждая 3-максимальная подгруппа перестановочна со всеми максимальными под
有限群的S-条件半置换子群
群的根性的一般理论
X-s-Permutable subgroups
On Fn-supplemented subgroups of finite groups
Schur-Zassenhaus theorem for X-permutable subgroups
Some criteria for supersolubility in products of finite groups
Sh Finite Groups with S-C-Permutably Embedded Subgroups
Ch The influence of S-C-permutably embedded subgroups on the structure of finite groups
由群的元素性质确定的群的根性
其真商群为满足极大条件的FC-群的群
无限群p拟Frattini子群
Groups satisfying the Sylow tower property
On nonnilpotent groups with every two 3-maximal subgroups permutable
有限群的PCSM-子群
有限群的S-条件置换子群
有限可解群的p超可解性和p幂零性条件
s^＊-拟正规嵌入子群
S可补子群及其性质
某些子群弱s-置换嵌入的有限p-幂零群
关于弱s-置换嵌入子群的几个定理
弱s-置换子群对有限群可解性的影响
关于CAP-嵌入子群的一个注记
两种由群的元素性质所确定的群的根性
超可解群的两个充分条件
关于弱s-置换子群的几个定理
关于有限群的X置换子群
关于F-S-可补子群Ⅱ
关于有限群的S-C置换嵌入子群的新探讨
关于CAS-子群与p-幂零性的一个注记
X-可换子群与有限群的超可解性
完全C-置换子群
弱s置换子群与有限群的可解性
关于弱s-可补子群的几个定理
子群的完全c-可换性与p-可分群
有限超可解群的置换乘积
极小子群的超中心性与幂零群
有限群的可解性与p幂零性
On X-Semipermutability of Some Subgroups of Finite Croups
弱s-置换嵌入子群对p-幂零群的影响
有限群的超可解和可解性
期刊信息
  • 《内蒙古师范大学学报：自然科学汉文版》
  • 北大核心期刊（2011版）
  • 主管单位:内蒙古自治区教育厅
  • 主办单位:内蒙古师范大学
  • 主编：陈汉忠
  • 地址：呼和浩特市赛罕区昭乌达路81号
  • 邮编：010022
  • 邮箱：nmsb@imnu.edu.cn
  • 电话：0471-4393042
  • 国际标准刊号：ISSN：1001-8735
  • 国内统一刊号：ISSN：15-1049/N
  • 邮发代号:16-77
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,波兰哥白尼索引,德国数学文摘,美国剑桥科学文摘,英国动物学记录,中国中国科技核心期刊,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:4138