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| 子群交换度对群结构的影响 | |
| 引用本文： | 徐勇,冯爱芬,孙炎冰. 子群交换度对群结构的影响[J]. 数学杂志, 2015, 35(3): 743-746 |
| 作者姓名： | 徐勇 冯爱芬 孙炎冰 |
| 作者单位： | 河南科技大学数学与统计学院, 河南 洛阳 471023,河南科技大学数学与统计学院, 河南 洛阳 471023,河南科技大学数学与统计学院, 河南 洛阳 471023 |
| 基金项目： | 国家自然科学基金(11326056;11171243;11301151);河南科技大学博士启动基金资助(09001610);河南科技大学青年科学基金(13000954). |
| 摘 要： | 本文研究了子群交换度与有限群结构的关系.利用子群交换度的数量性质,获得了循环群和2n阶的广义四元数群的一个新刻画. |
| 关 键 词： | 有限群 子群交换度 循环群 广义四元数群 |
| 收稿时间： | 2013-09-14 |
| 修稿时间： | 2014-02-18 |
THE INFLUENCE OF SUBGROUP COMMUTATIVITY DEGREESON THE STRUCTURE OF FINITE GROUPS |
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| XU Yong,FENG Ai-fen and SUN Yan-bing. THE INFLUENCE OF SUBGROUP COMMUTATIVITY DEGREESON THE STRUCTURE OF FINITE GROUPS[J]. Journal of Mathematics, 2015, 35(3): 743-746 | |
| Authors: | XU Yong FENG Ai-fen SUN Yan-bing |
| Affiliation: | School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China,School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China and School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China |
| Abstract: | In this paper, we study the relationship between the structure of flnite groups and subgroup commutativity degrees. And we obtain a new characterization of the cyclic groups and generalized quaternion groups of order 2n by using properties of quantities of subgroup commutativity degrees. |
| Keywords: | flnite group subgroup commutativity degree cyclic group generalized quaternion group |
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