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有限群可解的一些充分条件
  • 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：国家自然科学基金资助项目（10571128）
作者： 南爱玲[1]
关键词： C-正规子群, Θ-子群偶, 可解群, solvable group, c- normal subgroup, θ- pairs
中文摘要：

设G是限群，称子群H在G中c-正规，若存在K△G，使得G=冰且H∩K≤HG．本文利用子群的c-正规性和一般真子群的θ-子群偶刻画了有限群的可解性．

英文摘要：

Let G be a finite group, a subgroup H is said to be c- normal in G if there exists a normal subgroup K of G such that G = HK and HH∩K≤HG, where HG is the maximal normal subgroup of G contained in H. In this paper, we give some sufficient conditions of finite solvable groups by the c-normality of some subgroups and theta pairs of proper subgroups.

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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