| 非本原复反射群G(m,m,n)的表出 |
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| 引用本文： | 刘晓丽.非本原复反射群G(m,m,n)的表出[J].曲阜师范大学学报,2007,33(3):48-52. |
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| 作者姓名： | 刘晓丽 |
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| 作者单位： | 华东师范大学理工学院数学系 200062上海市 |
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| 摘 要： | 时俭益(2005)引进了表出同余性和本质表出的概念,得出了非本原复反射群G(m,m,n)的不同余的表出(S,P)和n个顶点n条边的仅含一圈的连通图ΓS的同构类之间存在一一对应关系.该文主要通过代数软件GAP的辅助计算对G(m,m,n)的表出作出进一步简化,研究非本原复反射群G(m,m,n)的不同余的本质表出.
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| 关 键 词： | 非本原复反射群 本质表出 两点圈 |
| 文章编号： | 1001-5337（2007）03-0048-05 |
| 修稿时间： | 2006-05-23 |
Presentations of Finite Unitary Reflection Groups G(m,m,n) |
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| LIU Xiao-li.Presentations of Finite Unitary Reflection Groups G(m,m,n)[J].Journal of Qufu Normal University(Natural Science),2007,33(3):48-52. |
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| Authors: | LIU Xiao-li |
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| Institution: | Department of Mathematics, East China Normal University, 200062, Shanghai, PRC |
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| Abstract: | Shi Jian-yi introduced an essential presentation and a congruent relation among presentations for a complex reflection group in 2005.He also established a bijection between the set of all the congruence classes of presentations for the group G(m,m,n) and the set of isomorphism classes of all the connected graphs with n nodes and n edges.In this paper,a simplification for all the presentations of the group G(m,m,n) is made so that the non-congruent essential presentations of the imprimitive complex reflection groups G(m,m,n) are obtained. |
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| Keywords: | imprimitive complex reflection groups essential presentations a two-nodes circle |
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