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自共轭置换子群对群p-幂零性的影响
  • ISSN号：1000-0984
  • 期刊名称：《数学的实践与认识》
  • 时间：0
  • 分类：O152.1[理学—数学;理学—基础数学]
  • 作者机构：[1]哈尔滨师范大学
  • 相关基金：国家自然科学基金（10671049）; 龙江学者基金; 黑龙江省教育厅项目（11532264）; 黑龙江省高等教育教学改革工程（2008年）
作者： 侯艳[1], 钱方生[1]
关键词： 自共轭置换子群, P-幂零群, Self-conjugate permutable subgroups, p-nilpotent groups
中文摘要：

有限群G的一个子群H叫做自共轭置换子群,如果对于任意x∈G,由HHx=HxH可推出H=Hx.通过研究p阶和4阶循环子群的自共轭置换性来讨论有限群的p-幂零性.

英文摘要：

A subgroup H of a finite group G is called a self-conjugate permutable subgroup in G,if HHx=HxH implies that H=Hx for any x of G.In this paper,the p-nipotency of finite groups by means of the self-conjugate permutability of cyclicgroups of order p and 4 are studied.

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期刊信息
  • 《数学的实践与认识》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编：林群
  • 地址：北京大学数学科学学院
  • 邮编：100871
  • 邮箱：bjmath@math.pku.edu.cn
  • 电话：010-62759981
  • 国际标准刊号：ISSN：1000-0984
  • 国内统一刊号：ISSN：11-2018/O1
  • 邮发代号:2-809
  • 获奖情况:
  • 国内外数据库收录:
  • 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:22973