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关于有限群的S-C置换嵌入子群的新探讨
  • ISSN号：2096-1928
  • 期刊名称：《服装学报》
  • 时间：0
  • 分类：O152[理学—数学;理学—基础数学]
  • 作者机构：[1]徐州师范大学数学科学学院,江苏徐州221116
  • 相关基金：基金项目：国家自然科学基金资助项目（10771180）
作者： 胡滨[1]
关键词： 有限群, S-C置换嵌入子群, 饱和群系, SYLOW子群, finite group, S-conditionally permutably embedded subgroup, saturated formation, Sylow subgroup
中文摘要：

群G的子群H称为在G中5条件置换嵌入（简称S-C置换嵌入），如果对于任意的p∈π（H），H的每个Sy—lowP子群都是G的某个S条件置换子群的SylowP子群．本文利用S-C置换嵌入子群，得到了有限群的一个新的特征性定理，并由此推广了一系列已知的结论．

英文摘要：

A subgroup H of a group G is said to be S-conditionally permutably embedded（or in brevity, S-C-permutably embedded） in G, if for each p∈π（H） every Sylow p-subgroup of H is a Sylow p-subgroup of some S-conditionally permutable subgroup of G. By using the concept of S-C-permutably embedded subgroup, some new characterizations of finite groups are obtained, and several known results are generalized.

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On X-permutable subgroups of finite groups
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On finite quasi-?-groups
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The πNear Frattini Subgroups of Infinite groups
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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
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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
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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
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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...
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  • 被引量:18