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p幂零群的新判别准则
  • ISSN号：0253-2778
  • 期刊名称：《中国科学技术大学学报》
  • 时间：0
  • 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, [2]中国科学技术大学数学系,安徽合肥230026
  • 相关基金：Supported by NNSF of China （11071229） and the Natural Science Foundation of the Jiangsu Higher Education Institutions of China（10KJD110004）.
作者： 黄建红[1], 张宏高[1], 余小龙[2]
关键词： 有限群, F可补充子群, p幂零群, 极大子群, finite group, g-supplemented group, p-nilpotent group, maximal subgroup
中文摘要：

设G是一个有限群，f是一个群类．群G的子群H称为在G中是f可补充的，如果存在G的子群T使得G=HT且（H∩T）HG／HG含于G／HG的f超中心Z∞^f（G／Ha）中．主要利用f可补充子群进一步研究群的结构，得到了一些关于P幂零群的新判别准则．

英文摘要：

Let G be a finite group and f a class of groups. A subgroup H of G is said to be f supplemented in G if there exists a subgroup T of G such that G=HT and （H∩T）HG/HG is contained in the f hypercenter Z∞^f （G/HG） of G/HG. Here, f-supplemented subgroups were used to study the structure of finite groups and some new criteria of p-nilpotent groups were obtained.

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子群与群的结构研究
期刊论文 63
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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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NEW CRITERIONS OF EXISTENCE AND CONJUGACY OF HALL SUBGROUPS OF FINITE GROUPS
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ON SOME OPEN PROBLEMS RELATED TO X-PERMUTABILITY OF SUBGROUPS
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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
c∗-Quasinormally embedded sub- groups of finite groups
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期刊信息
  • 《中国科学技术大学学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学技术大学
  • 主编：何多慧
  • 地址：安徽省合肥市金寨路96号
  • 邮编：230026
  • 邮箱：JUST@USTC.EDU.CN
  • 电话：0551-63601961 63607694
  • 国际标准刊号：ISSN：0253-2778
  • 国内统一刊号：ISSN：34-1054/N
  • 邮发代号:26-31
  • 获奖情况:
  • 1999年，全国优秀高等学校自然科学学报及教育部优...,2001年，安徽省1999-2001年度优秀科技期刊一等奖,2002年，第三届华东地区优秀期刊奖
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国剑桥科学文摘,英国科学文摘数据库,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,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:8237