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半CAP-子群与有限群的性质
  • ISSN号：2095-2651
  • 期刊名称：《数学研究及应用：英文版》
  • 时间：0
  • 分类：O152.1[理学—数学;理学—基础数学]
  • 作者机构：[1]苏州大学数学科学学院,江苏苏州215006
  • 相关基金：Item：Supported by the NNSF of China（10571128） and Suzhou City Senior Talent Supporting Project.
作者： 杨元韡[1], 黎先华[1]
关键词： 极小子群, CAP-子群, P-幂零, 群系, minimal subgroup, semi CAP-subgroup, p-nilpotent, formation
中文摘要：

设G是有限群,G的子群H称为G的半CAP-子群,如果存在G的一个主群列1 =G0△←G1 …△←Gn-1△←Gn=G使得H覆盖或者避开Gi/Gi-1,其中i=1,2,…,n.本文主要讨论极小子群和4阶循环子群的半覆盖-避开性对有限群结构的影响.

英文摘要：

Let G be a finite group.A subgroup H of G is said to be a semi CAP-subgroup of G if there exists a chief series 1=G0△←G1△← …△←Gn-1△←Gn=G such that for every i=1,2,…,n,either H covers Gi/Gi-1 or H avoids Gi/Gi-1.The purpose here is to study the influence of semi cover-avoiding properties of some minimal subgroups and some cyclic subgroups of order 4 on the structure of finite groups.

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期刊信息
  • 《数学研究及应用：英文版》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:大连理工大学
  • 主编：王仁宏
  • 地址：大连理工大学应用数学系
  • 邮编：116024
  • 邮箱：
  • 电话：0411-84707392
  • 国际标准刊号：ISSN：2095-2651
  • 国内统一刊号：ISSN：21-1579/O1
  • 邮发代号:8-92
  • 获奖情况:
  • 1998年大连市优秀期刊奖,2000年大连市优秀期刊奖
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊
  • 被引量:36