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关于弱s-置换子群的几个定理
  • ISSN号：2096-1928
  • 期刊名称：《服装学报》
  • 时间：0
  • 分类：O152[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222001
  • 相关基金：国家自然科学基金项目（10771180）
作者： 李长稳[1], 於遒[2]
关键词： 弱s-置换, 子群, P-幂零, P-超可解, weakly s-permutable, subgroup , p-nilpotent , p-supersolvable
中文摘要：

设H是有限群G的一个子群．如果存在G的一个次正规子群T使得G=Hr，且H∩T≤hsG，其中HsG是由包含在口中的G的所有s-置换子群生成的群，则称H在G中是弱s-置换的．利用弱s-置换子群研究有限群的结构，得到了有限群的p-超可解性和p-幂零性的一些新的刻画．

英文摘要：

Suppose G is a finite group and H is a subgroup of G. H is said to be weakly s-permutable in G if there is a subnormal subgroup T of G so that G = HT and H ∩ T ≤ HsG, where HsG is the subgroup of H generated by all those subgroups of H which are s-permutable in G. We investigate the infuence of weakly s-permutable subgroups on the structure of finite groups and establish some new criteria for the p-supersolvability and p-nilpotency.

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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