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有限超可解群的置换乘积
  • ISSN号：2096-1928
  • 期刊名称：《服装学报》
  • 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
  • 相关基金：Research is jointly supported by a National Natural Science Foundation of China（10771180） ;A grant of postgranduate innovation fund of Jiangsu Province,China
作者： 刘溪[1], 石磊[1], 杨南迎[1]
关键词： 有限群, 置换子群, 极大子群, 西洛子群, 超可解群, finite group, permutable subgroup, maximal subgroup, Sylow subgroup, supersoluble group
中文摘要：

群G的两个子群H和K称为可置换的,如果HK=KH.利用子群的可置换性,给出了两个超可解子群A和B的乘积仍为超可解群的一个判别准则.

英文摘要：

Two subgroups H and K of a finite group G are said to be permutable if HK=KH. In this paper, by using the concept of permutable subgroups, a new criterion of supersolubility of the product G=AB of finite supersoluble groups A and B is given.

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期刊信息
  • 《服装学报》
  • 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:江南大学
  • 主编：高卫东
  • 地址：无锡市蠡湖大道1800号江南大学
  • 邮编：214122
  • 邮箱：fzcb@jiangnan.edu.cn
  • 电话：0510-85913519
  • 国际标准刊号：ISSN：2096-1928
  • 国内统一刊号：ISSN：32-1864/TS
  • 邮发代号:
  • 获奖情况:
  • 2000年荣获首届《CAJ-CD规范》执行优秀奖,2004年荣获全国高校科技期刊优秀编辑出版质量奖,2007年在"第六届江苏省期刊质量评估及优秀期刊评...,2007年在"第六届江苏省期刊质量评估及优秀期刊评...
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  • 被引量:18