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u-可补子群与有限群的p-幂零性
  • ISSN号：1000-5641
  • 期刊名称：《华东师范大学学报：自然科学版》
  • 时间：0
  • 分类：O512[理学—低温物理;理学—物理]
  • 作者机构：[1]徐州师范大学数学科学学院,徐州221116
  • 相关基金：国家自然科学基金（11071229）; 江苏省高校自然科学资金（10KJD110004）
作者： 李长稳[1], 胡滨[1]
关键词： u-可补, P-幂零, Sylow, P-子群, u-supplemented, p-nilpotent, Sylow p-subgroup
中文摘要：

研究了U-可补子群对有限群结构的影响.在一些准素子群（例如,Sylow子群的2-极大子群）U-可补的假设下,一些p-幂零性的条件被建立,同时得到了一个群属于给定的有限群的群系的新的刻画.作为应用,推广和统一了一些已知的结果.

英文摘要：

The influence of u-supplemented subgroups on the structure of finite groups was investigated.Some conditions of p-nilpotency under assumption that some primary subgroups （for example,2-maximal subgroups of Sylow subgroup） are u-supplemented were established.Meanwhile,some new characterizations of a group belonging to a given formation of finite groups were obtained.As an application,a series of previously known results are unified and generalized.

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期刊论文 63
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期刊信息
  • 《华东师范大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:中华人民共和国教育部
  • 主办单位:华东师范大学
  • 主编：郑伟安
  • 地址：上海中山北路3663号
  • 邮编：200062
  • 邮箱：xblk@xb.ecnu.edu.cn
  • 电话：021-62233703
  • 国际标准刊号：ISSN：1000-5641
  • 国内统一刊号：ISSN：31-1298/N
  • 邮发代号:4-359
  • 获奖情况:
  • 中国综合性科技类核心期刊
  • 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,美国剑桥科学文摘,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:6600