位置：成果数据库 > 期刊 > 期刊详情页
素数幂阶子群对有限群结构的影响
  • ISSN号：2095-2651
  • 期刊名称：《数学研究及应用：英文版》
  • 时间：0
  • 分类：O152[理学—数学;理学—基础数学]
  • 作者机构：[1]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（10571128）
作者： 李忠民[1], 黎先华[1]
关键词： 有限群, H-子群, P-幂零群, finite group , -subgroup , p-nilpotent subgroup
中文摘要：

假设G是有限群．子群H称为G的 -子群，如果对任何g∈G有NG（H）∩H^g≤H.用 （G）表示G中所有 -子群的集合．本文讨论某些素数阶子群和4阶循环子群是 -子群的群的结构．

英文摘要：

Let G be a finite group. A subgroup H of G is called an -subgroup of G if the following condition is satisfied ：No（H） AH^g ≤H for all g ∈ G. Let （G） denote the set of all -subgroups of a finite group G. The aim of this paper is to investigate the structure of finite group G under the assumption that some subgroups of prime power orders belong to （G）.

同期刊论文项目
有限群的算术性质
期刊论文 65
同项目期刊论文
Recognition of finite almost simple groups PGL2(q) by spectrum
A new criterion for finite non-cyclic groups
A generalization of c-supplementation
A note on the solvability of groups
中心外的同阶元必共轭的有限群
一类和有限群的共轭类关联的新图
Recognition by spectrum of L16(2m)
A new characterization of L2(q) by its noncommuting graph
Finite groups all of whose abelian subgroups are QTI-subgroups
Two dual questions on zeros of characters of finite groups.
Solvable groups with an irreducible character vanishing just one class of elements,
A5的一个特征及其初等证明
子群的半覆盖- - 避开性与有限群的结构
OD-characterization of almost simple groups related to L 2(49).
A note on zeros of characters of finite groups.
子群的θ-偶和群的结构.
OD-characterization of all simple groups whose orders are less than 108.
Characterization of simple $K\sb 4$-groups.
On 9- and 10-decomposable finite groups.
Finite groups with 30 elements of maximal order.
用可解子群的阶刻画有限单群
The primitive permutation groups of degree 2a3b
关于某些多边形积的剩余有限性
关于图的基本群的正规子群的指数
Z-permutable Subgroups and p-nilpotency of Finite Groups II
有限群的PCSM-子群
On PCM-subgroups of finite groups
Pure quantitative characterization of linear groups over the binary field,
A characterization of finite simple groups by the orders of solvable subgroups,
Finite groups whose all irreducible character degrees are Hall-numbers
Semi CAP-subgroups and the properties of finite groups
Influence of permutizers of subgroups on the structure of finite groups
A conjecture of Abe-liyori and finite orthogonal simple groups with Witt index n, PΩ+2n(q), III,
The largest lengths of conjugate classes and the Sylow subgroups of finite groups
Finite groups in which elements of the same order outside the center are conjugate
Recognition by spectrum for finite simple groups of Lie type.
Co-degrees of irreducible characters in finite groups,
Finite groups in which every subgroup is abelian or normal
A note on character kernels in finite groups of prime power order
A new characterization of A10 by its noncommuting graph.
Finite groups with conjugacy classes number one greater than its same order classes number
Finite solvable groups with at most two nonlinear irreducible characters of each degreee
On the connection between μ(G) and the structure of finite groups
最高阶元素个数为6p的有限群
The Structure of Finite Groups and Supplement of Subgroups
关于有限群的共轭置换子群
所有极大子群皆交换或正规的有限群
Witt指数n的有限正交单群的一个新刻画
单群L3（9）的OD-刻画
Finite Groups in Which Every Subgroup Is Abelian or Normal
可解群的若干充分条件
用非交换图刻画L3（q）（英文）
某些L2（2^m）的新刻画
有限群可解的一些充分条件
半CAP-子群与有限群的性质
C^＊-正规子群和有限群的结构
交错群A16的OD-刻画
单群A11的一个特征性质
有限群的可解性与覆盖-避开性
某些单K3-群的一个新刻画
最高阶元素个数为6p^m的有限群
A Note on Zeros of Characters of Finite Groups
子群的半覆盖-避开性与有限群的结构
子群的θ-偶和群的结构
期刊信息
  • 《数学研究及应用：英文版》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:大连理工大学
  • 主编：王仁宏
  • 地址：大连理工大学应用数学系
  • 邮编：116024
  • 邮箱：
  • 电话：0411-84707392
  • 国际标准刊号：ISSN：2095-2651
  • 国内统一刊号：ISSN：21-1579/O1
  • 邮发代号:8-92
  • 获奖情况:
  • 1998年大连市优秀期刊奖,2000年大连市优秀期刊奖
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊
  • 被引量:36