| 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 |
| DOI： |
| 分类号:O152.1 |
| 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). |
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| THE INFLUENCE OF SUBGROUP COMMUTATIVITY DEGREESON THE STRUCTURE OF FINITE GROUPS |
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XU Yong, FENG Ai-fen, SUN Yan-bing
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School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China
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| 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. |
| Key words: flnite group subgroup commutativity degree cyclic group generalized quaternion group |
