非本原复反射群G(m,p,n)中的反射序  

Reflection ordering in the imprimitive complex reflection group G(m,p,n)

作　　者：洪飞飞 李晶晶[2] 王丽 HONG Feifei;LI Jingjing;WANG Li(High School Affiliated to Shanghai University of Finance and Economics,Shanghai 200090,China;Songjiang Experiment School Affiliated to Shanghai Normal University,Shanghai 201601,China;Mathematics and Science College,Shanghai Normal University,Shanghai 200234,China)

机构地区：[1]上海财经大学附属中学,上海200090 [2]上海师范大学附属松江实验学校,上海201601 [3]上海师范大学数理学院,上海200234

出　　处：《上海师范大学学报（自然科学版）》2021年第3期320-328,共9页Journal of Shanghai Normal University(Natural Sciences)

基　　金：The National Natural Science Foundation of China(11971319)。

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.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.

关 键 词：非本原复反射群 反射长度 反射序 

分 类 号：O152.3[理学—数学]