VIRTUALLY FIBERING RIGHT-ANGLED COXETER GROUPS

被引：11

作者：

Jankiewicz, Kasia ^{[1
]}

Norin, Sergey ^{[1
]}

Wise, Daniel T. ^{[1
]}

机构：

[1] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 0B9, Canada

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2021年 / 20卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Coxeter groups; Morse theory; Coherent groups; MORSE-THEORY; THEOREM;

D O I：

10.1017/S1474748019000422

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that certain right-angled Coxeter groups have finite index subgroups that quotient to Z with finitely generated kernels. The proof uses Bestvina-Brady Morse theory facilitated by combinatorial arguments. We describe a variety of examples where the plan succeeds or fails. Among the successful examples are the right-angled reflection groups in H-4 with fundamental domain the 120-cell or the 24-cell.

引用

页码：957 / 987

页数：31

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