Strong reflection rigidity of coxeter systems of dihedral groups

被引：0

作者：

Hosaka, T ^{[1
]}

机构：

[1] Utsunomiya Univ, Dept Math, Utsunomiya, Tochigi 3218505, Japan

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2005年 / 31卷 / 01期

关键词：

dihedral Coxeter groups; strong rigidity; strong reflection rigidity;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study strong rigidity and Strong reflection rigidity of Coxeter systems of dihedral groups. We show that the Coxeter system of the dihedral group D-n of order 2n is strongly reflection rigid if and only if n is an element of {2,3,4,6}, and that the dihedral Coxeter group D-n is strongly rigid if and only if n is an element of{3, 4}.

引用

页码：37 / 41

页数：5

共 50 条

[1] Reflection rigidity of 2-spherical coxeter groups
Caprace, Pierre-Emmanuel
Muhlherr, Bernhard
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2007, 94 : 520 - 542
[2] Rigidity of Coxeter groups
Prassidis, S
Spieler, B
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 352 (06) : 2619 - 2642
[3] Rigidity of Coxeter groups and Artin groups
Brady, N
McCammond, JP
Mühlherr, B
Neumann, WD
[J]. GEOMETRIAE DEDICATA, 2002, 94 (01) : 91 - 109
[4] Rigidity of Coxeter Groups and Artin Groups
Noel Brady
Jonathan P. McCammond
Bernhard Mühlherr
Walter D. Neumann
[J]. Geometriae Dedicata, 2002, 94 : 91 - 109
[5] REFLECTION CENTRALIZERS IN COXETER GROUPS
Allcock, Daniel
[J]. TRANSFORMATION GROUPS, 2013, 18 (03) : 599 - 613
[6] REFLECTION SUBGROUPS OF COXETER GROUPS
Felikson, Anna
Tumarkin, Pavel
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 362 (02) : 847 - 858
[7] Reflection centralizers in Coxeter groups
Daniel Allcock
[J]. Transformation Groups, 2013, 18 : 599 - 613
[8] Reflection Representations of Coxeter Groups and Homology of Coxeter Graphs
Hu, Hongsheng
[J]. ALGEBRAS AND REPRESENTATION THEORY, 2024, 27 (01) : 961 - 994
[9] Reflection Representations of Coxeter Groups and Homology of Coxeter Graphs
Hongsheng Hu
[J]. Algebras and Representation Theory, 2024, 27 : 961 - 994
[10] Reflection groups of geodesic spaces and Coxeter groups
Hosaka, Tetsuya
[J]. TOPOLOGY AND ITS APPLICATIONS, 2006, 153 (11) : 1860 - 1866

← 1 2 3 4 5 →