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C^＊-正规子群和有限群的结构
  • ISSN号：2095-2651
  • 期刊名称：《数学研究及应用：英文版》
  • 时间：0
  • 分类：O152.1[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：Supported by the Natural Science Foundation of China（10571128）Acknowledgment The authors would like to thank Professor Li Xanhua for his instruction and help.
作者： 杜春英[1]
关键词： c*-正规子群, 极大子群, 2-极大子群, c^＊ -normality , maximal subgroup , 2-maximal subgroup
中文摘要：

H为群G的子群,如果存在G的正规子群K使得G=HK并且H∩K在G中是S-拟正规嵌入的,我们称H在G中是c^＊-正规的.我们利用群G的Sylow子群的2-极大子群的c^＊-正规性来刻划群的结构,一些已知的结果得到推广.

英文摘要：

A subgroup H of a group G is called c^＊ -normal in G if there exists a normal subgroup K of G such that G = HK and H n K is s-quasinormally embedded in G. In this paper we characterize p-nilpotent of finite group G with assumption that some 2-maximal subgroups of Sylow subgroup of G are c^＊ -normal. Some recent results are extended.

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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