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关于广义Dedekind群
  • ISSN号：1000-8314
  • 期刊名称：数学年刊A辑(中文版)
  • 时间：2011
  • 页码：331-338
  • 分类：O152[理学—数学;理学—基础数学]
  • 作者机构：[1]江苏师范大学数学与统计学院,江苏徐州221116
  • 相关基金：国家自然科学基金资助项目（11071229）; 江苏师范大学研究生科研创新计划资助项目（2012YYB092）
  • 相关项目：子群与群的结构研究
作者： 余大鹏，张志让，吕恒|
关键词： 有限群, SS拟正规子群, 弱SS拟正规可补子群, p幂零群, 幂零群, finite group, SS-quasinormal subgroup, weakly SS-quasinormally supplemented subgroup, p-nilpotent group, nilpotent group
中文摘要：

群G的子群H称为在G中是弱SS拟正规可补的,如果G中存在一个子群T,使得G=HT且H∩T≤HSSG,其中HSSG表示含在H中G的某个SS拟正规子群.利用弱SS拟正规可补子群的概念,得到关于p幂零群和幂零群的一些新刻画.

英文摘要：

A subgroup H of a group G is said to be weakly SS-quasinormally supplemented in G if there is a subgroup T of G such that G= HT and H∩T≤ HSSG, where HSSG is some SS-quasinormal subgroup of G contained in H. By using the concept of weakly SS-quasinormally supplemented subgroups, some new criteria of p-nilpotent groups and nilpotent groups are obtained.

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On Hall subgroups of a finite group
Criteria for p-solvability and p-supersolvability for finite groups
On F-z-supplemented subgroups of finite groups
On the partial Pi-property of subgroups of finite groups
On G-covering subgroup systems of finite groups
On Fn-normal subgroups of finite groups
U-supplemented subgroups and p-nilpotency of finite groups
On the theory of a-centrality of chief factors and a-hypercentre for Fitting classes
On factorizations of finite groups with F-hypercentral intersections of the factors
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ON SOME OPEN PROBLEMS RELATED TO X-PERMUTABILITY OF SUBGROUPS
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SE-Supplemented Subgroups of Finite Groups
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Completely c-semipermutable subgroups and supersolubility of finite groups
New Characterizations of Some Classes of Finite Groups
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New characterizations of p-soluble and p-supersoluble finite groups
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A covering subgroup system for the class of p-nilpotent groups
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On ss-quasinormal and Weakly s-supplemented subgroups of p-nilpotent groups
A note on s-quasinormally Embedded and c-supplemented Subgroups of Finite Groups
On X-Permutable Subgroups
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关于最高阶元个数为10pq的有限群
Dp(3)(p 5) Can Be Characterized by Its Order Components
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On AAM’s Conjecture for Dn(3)
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ON MINIMAL NON-NSN-GROUPS
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期刊信息
  • 《数学年刊：A辑》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:复旦大学
  • 主编：李大潜
  • 地址：上海市长乐路746号
  • 邮编：200040
  • 邮箱：edcam@fudan.edu.cn
  • 电话：021-65642338
  • 国际标准刊号：ISSN：1000-8314
  • 国内统一刊号：ISSN：31-1328/O1
  • 邮发代号:4-298
  • 获奖情况:
  • 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,中国中国科技核心期刊,中国北大核心期刊（2004版）,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）,中国北大核心期刊（2000版）
  • 被引量:4264