| 非本原复反射群G(m,p,n)中的反射序 |
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| 引用本文： | 洪飞飞,李晶晶,王丽.非本原复反射群G(m,p,n)中的反射序[J].上海师范大学学报(自然科学版),2021,50(3):320-328. |
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| 作者姓名： | 洪飞飞 李晶晶 王丽 |
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| 作者单位： | 上海财经大学附属中学, 上海 200090;上海师范大学附属松江实验学校, 上海 201601;上海师范大学 数理学院, 上海 200234 |
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| 基金项目： | The National Natural Science Foundation of China (11971319) |
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| 摘 要： | 设m，p，n是正整数且p整除m。令G（m，p，n）是非本原复反射群.根据文献介绍了群G（m，p，n）中的一种偏序，称为反射序.文中将研究当1 < p < m时，群G（m，p，n）中的反射序.
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| 关 键 词： | 非本原复反射群 反射长度 反射序 |
| 收稿时间： | 2021/5/25 0:00:00 |
Reflection ordering in the imprimitive complex reflection group G(m, p, n) |
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| HONG Feifei,LI Jingjing,WANG Li.Reflection ordering in the imprimitive complex reflection group G(m, p, n)[J].Journal of Shanghai Normal University(Natural Sciences),2021,50(3):320-328. |
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| Authors: | HONG Feifei LI Jingjing WANG Li |
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| Institution: | High School Affiliated to Shanghai University of Finance and Economics, Shanghai 200090, China;Songjiang Experiment School Affiliated to Shanghai Normal University, Shanghai 201601, China; Mathematies and Science College, Shanghai Normal University, Shanghai 200234, China |
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| Abstract: | Assume that m, p and n are positive integers, and p divides m. Let G(m, p, n) be an imprimitive complex refelction group. A partial ordering is introduced in the group G(m, p, n), as following reference, which is called the reflection ordering. We will study the reflection ordering in the group G(m, p, n) with 1 < p < m. |
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| Keywords: | imprimitive complex reflection groups reflection length reflection ordering |
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