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有限群的可解性与覆盖-避开性
  • 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：国家自然科学基金资助项目（10571128）
作者： 赵涛[1]
关键词： 覆盖, 避开, CAP-子群, 半CAP-子群, 可解, cover, avoid, CAP-subgroup, semi -CAP-subgroup, solvability
中文摘要：

一个群G的子群H被称为CAP-子群,若它满足H或是覆盖或是避开G的每一个主因子.群G的子群H被称为半CAP-子群,若它满足H或是覆盖或是避开G的某个固定主群列的每一个主因子.本文通过假定群G的某些子群为CAP-子群或半CAP-子群,给出了群的可解性的某些刻画.

英文摘要：

We call a subgroup H of a finite group G a CAP-subgroup of G, if H cover or avoids every chief factor L/K of G. If for a given chief series of G, we have H cover or avoids every chief factor of this chief series. We call H a semi-CAP-subgroup of G. In this paper,by assuming some subgroups of G are CAP-subgroup or semi-CAP-subgroup of G. We get some results about the solvability of G.

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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