| 最高阶元素个数为68p的有限群 |
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| 引用本文： | 晏燕雄,陈贵云,何立官.最高阶元素个数为68p的有限群[J].广西科学,2005,12(4):241-245. |
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| 作者姓名： | 晏燕雄 陈贵云 何立官 |
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| 作者单位： | 西南师范大学数学与财经学院,重庆,400715 |
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| 基金项目： | 国家自然科学基金项目(10171074)、教育部重点项目和教育部优秀青年教师资助计划联合资助. |
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| 摘 要： | 讨论群的最高阶元素个数为68p的有限群,得到如果G是最高阶元素个数为|M(G)|=68p的有限群,其中素数p>7,则 G是可解群.
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| 关 键 词： | 有限群 可解群 元素的阶 |
| 文章编号： | 1005-9164(2005)04-0241-05 |
| 收稿时间： | 2005/4/18 0:00:00 |
| 修稿时间： | 2005年4月18日 |
Finite Groups with 68p Elements of Maximal Order |
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| Yan Yanxiong,Chen Guiyun and He Liguan.Finite Groups with 68p Elements of Maximal Order[J].Guangxi Sciences,2005,12(4):241-245. |
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| Authors: | Yan Yanxiong Chen Guiyun and He Liguan |
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| Institution: | School of Mathematics and Finance, Southwest China Normal University, Chongqing, 400715, China,School of Mathematics and Finance, Southwest China Normal University, Chongqing, 400715, China and School of Mathematics and Finance, Southwest China Normal University, Chongqing, 400715, China |
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| Abstract: | We discuss the finite groups with 68p elements of maximal order,and get a theorem as follows:Suppose G is a finite group with |M(G)|=68p elements of maximal order,where p is a prime and p>7,then G is solvable. |
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| Keywords: | finite groups solvable groups the order of elements |
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