位置：成果数据库 > 期刊 > 期刊详情页
关于极大子群共轭类型的若干结果
  • ISSN号：1001-7445
  • 期刊名称：《广西大学学报：自然科学版》
  • 时间：0
  • 分类：O152.1[理学—数学;理学—基础数学]
  • 作者机构：[1]北京大学数学科学学院＆LMAM,北京100871, [2]University of Primorska, FAMNIT, Glagoljaska 8,6000 Koper, Slovenia, [3]University of Primorska,PINT, Muzejski trg 2,6000 Koper,Slovenia
  • 相关基金：国家自然科学基金资助项目（10871032）; ＂Agencija za raziskovalno dejavnost Republike Slovenije＂, proj. mladi raziskovalci;＂ Agencija za raziskovalno dejavnost Republike Slovenije＂, research program P1-0285
作者： 史江涛[1], 张翠
关键词： 极大子群, 共轭类, 可解群, maximal subgroup, conjugacy class, solvable group
中文摘要：

设G为恰有k个极大子群共轭类的有限群，m1，…mk分别为相应的共轭类长且m1≤…≤mk，则称MT（G）=（mt，…mk）为有限群G的极大子群共轭类型。主要研究问题：设H彩为一个群类，G和N为有限群。若MT（G）=MT（N），是否恒有G属于。H当且仅当N属于H？特别地，讨论G/Ф西（G）和N/Ф（N）之间的关系。

英文摘要：

Let G be a finite group with k conjugacy classes of maximal subgroups,and m1 ,...,mk be the lengthes of this classes and m1 ≤…≤mk. Then the sequence MT（G） = （m1,..., mk ）is called the type of conjugacy classes of maximal subgroups of G. In this artcle, the following problems are maily investigated. Let .H be a class of groups, G and N be finite groups. If MT（G） = MT（ N）, can we ensure that G is in H if and only if N is in H？ In particular,what can we say about G/Ф（G） and N/Ф （N）.

同期刊论文项目
有限群的特征标理论及相关共轭不变量
期刊论文 75
同项目期刊论文
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
弱s-可补子群对有限群结构的影响
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
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
期刊信息
  • 《广西大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:广西大学
  • 主办单位:广西大学
  • 主编：陈保善
  • 地址：广西南宁市大学路100号广西大学西校区
  • 邮编：530005
  • 邮箱：gxuzrb@gxu.edu.cn
  • 电话：0771-3235713 3232390
  • 国际标准刊号：ISSN：1001-7445
  • 国内统一刊号：ISSN：45-1071/N
  • 邮发代号:
  • 获奖情况:
  • 全国高校自然科学优秀学报,广西优秀科技期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,德国数学文摘,美国剑桥科学文摘,中国中国科技核心期刊,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:9092