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S可补子群及其性质
  • ISSN号：1000-5854
  • 期刊名称：《河北师范大学学报：自然科学版》
  • 时间：0
  • 分类：O152.1[理学—数学;理学—基础数学]
  • 作者机构：[1]徐州师范大学数学科学学院,江苏徐州221116, [2]淮海工学院理学院,江苏连云港222005
  • 相关基金：国家自然科学基金（10771180）
作者： 李长稳[1], 於遒[2]
关键词： S可补, 可解, Sylow子群, S-supplemented subgroup, solvable group , Sylow subgroup
中文摘要：

称群G的一个子群H在G中是S可补的,如果存在G的一个子群K,使得G=HK且H∩K≤HSG,其中HSG是包含在H中的G的最大次正规子群.主要利用Sylow子群及其子群的S可补性刻画群的结构,得到了可解群的一些结果.

英文摘要：

A subgroup H of a group G is said to be S-supplemented in G if there exists a subgroup K of G letting G = HK and H ∩ K ≤ HSG, where HSG is the largest subnormal subgroup of G contained in H. The structure of finite groups is determined by using S-supplemented subgroups and some results about .solvable group are obtained.

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期刊信息
  • 《河北师范大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:河北省教育厅
  • 主办单位:河北师范大学
  • 主编：蒋春澜
  • 地址：河北省石家庄市南二环东路20号
  • 邮编：050024
  • 邮箱：ziranb@mail.hebtu.edu.cn
  • 电话：0311-80786364
  • 国际标准刊号：ISSN：1000-5854
  • 国内统一刊号：ISSN：13-1061/N
  • 邮发代号:18-201
  • 获奖情况:
  • 全国优秀科技期刊,华北优秀科技期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,英国动物学记录,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）
  • 被引量:6209