位置：成果数据库 > 期刊 > 期刊详情页
极小子群的超中心性与幂零群
  • ISSN号：2096-1928
  • 期刊名称：《服装学报》
  • 时间：0
  • 分类：O152.1[理学—数学;理学—基础数学]
  • 作者机构：[1]山东工商学院数学与信息科学学院,山东烟台264005
  • 相关基金：国家自然科学基金资助项目（10771180）
作者： 刘玉凤[1]
关键词： 有限群, 完全c-可换子群, 极小子群, 幂零群, finite group, C - permutable subgroup, minimal subgroup, nilpotent group
中文摘要：

利用完全C-可换子群的概念，得到了幂零群的2个充分条件：（1）如果群G的4阶循环子群在G中完全C-可换且G的任意极小子群含于Z∞（G）中，那么G是幂零群；（2）设Ⅳ△←G且G／N是幂零群．如果N的任意4阶循环子群在G中完全C-可换且N的任意极小子群包含在Z∞（G）中，那么G是幂零群．

英文摘要：

Using the concept, completely c- permutable subgroup of finite groups, two sufficient conditions of nilpotent groups was obtained ： （ 1 ） If any cyclic subgroup of G of order 4 is completely c - permutable in G and any minimal subgroup of G is contained in the hypercenter ofG , then G is a nilpotent group. （ 2 ） Let N be a normal subgroup ofG and G/N be a nilpotent group. If any cyclic subgroup of N of order 4 is completely c-permutable in G and any minimal subgroup of N is contained in hypercenter ofG , then G is a nilpotent group.

同期刊论文项目
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
弱s-可补子群对有限群结构的影响
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
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
  • 《服装学报》
  • 中国科技核心期刊
  • 主管单位:中华人民共和国教育部
  • 主办单位:江南大学
  • 主编：高卫东
  • 地址：无锡市蠡湖大道1800号江南大学
  • 邮编：214122
  • 邮箱：fzcb@jiangnan.edu.cn
  • 电话：0510-85913519
  • 国际标准刊号：ISSN：2096-1928
  • 国内统一刊号：ISSN：32-1864/TS
  • 邮发代号:
  • 获奖情况:
  • 2000年荣获首届《CAJ-CD规范》执行优秀奖,2004年荣获全国高校科技期刊优秀编辑出版质量奖,2007年在"第六届江苏省期刊质量评估及优秀期刊评...,2007年在"第六届江苏省期刊质量评估及优秀期刊评...
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,波兰哥白尼索引,美国剑桥科学文摘,中国中国科技核心期刊
  • 被引量:18