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最高阶元素个数为6p^m的有限群
  • 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（10571128,10871032）,江苏省自然科学基金资助项目（BJ（2008156）资助项目,苏州市高层次人才项目资助项目
作者： 徐勇[1]
关键词： 有限群, 最高阶元, 可解群, finite group, the element of the maximal order, solvable group
中文摘要：

设p〉13为素数，m是正整数．讨论了最高阶元素个数为6p^m的有限群，证明了这样的群是可解群．

英文摘要：

Let p 〉 13 ,p is prime ,m is intager. The finite groups having 6p^m elements of maximal order are studied. It is proved that these finite groups are solvable.

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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