Reflection rigidity of 2-spherical coxeter groups

被引:13
|
作者
Caprace, Pierre-Emmanuel
Muhlherr, Bernhard
机构
[1] Univ Libre Bruxelles, Dept Math, B-1050 Brussels, Belgium
[2] Univ Oxford, Inst Math, Oxford OX1 3LB, England
关键词
D O I
10.1112/plms/pdl015
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that each finitely generated, irreducible and 2-spherical Coxeter system (W, S) is strongly reflection rigid whenever the group W is of infinite order. This means in particular that all reflection-preserving automorphisms of such a group are inner-by-graph. Our result can be seen as a first major step towards a proof of the conjecture that all infinite, irreducible Coxeter systems are strongly reflection rigid if they do not admit diagram twists.
引用
收藏
页码:520 / 542
页数:23
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