华东师范大学学报(自然科学版) ›› 2005, Vol. 2005 ›› Issue (5/6): 63-71.

• 数学 统计学 • 上一篇    下一篇

本原复反射群G27的表出

王丽   

  1. 华东师范大学数学系, 上海 200062
  • 收稿日期:2004-09-24 修回日期:2005-03-28 出版日期:2005-12-31 发布日期:2005-12-31
  • 通讯作者: 王丽

Presentations for the Primitive Pomplex Reflection Group G27(Chinese)

WANG Li   

  1. Department of Mathematics, East China Normal University, Shanghai 200062, China
  • Received:2004-09-24 Revised:2005-03-28 Online:2005-12-31 Published:2005-12-31
  • Contact: WANG Li

摘要： 在有限复反射群的所有表出构成的集合上，时俭益{[1,1.9]}定义了一个同余关系， 并给出了群G12, G24, G25,G26的所有不同余的本质表出．本文给出了群G27的所有不同余的本质表出.

关键词: 表出, 同余表出, 本质表出, 复反射群, 表出, 同余表出, 本质表出, 复反射群

Abstract: In [1, 1.9], Shi defined a congruent relation on the set of all presentations of a finite complex reflection groups G. Shi also gave all the non-congruent presentations of G with G∈{G12, G24,G25, G26} and proved that all those presentations he gave are essential[1, 7.1]. In this paper, we found all the non-congruent essential presentations of G27.

Key words: congruent presentation, essential presentation, complex reflection group, presentation, congruent presentation, essential presentation, complex reflection group

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