A construction of hyperbolic Coxeter groups

被引：16

作者：

Osajda, Damian ^{[1
]}

机构：

[1] Univ Vienna, Fak Math, A-1090 Vienna, Austria

来源：

COMMENTARII MATHEMATICI HELVETICI | 2013年 / 88卷 / 02期

关键词：

Gromov hyperbolic groups; Coxeter groups; systolic groups; SYSTOLIC COMPLEXES;

D O I：

10.4171/CMH/288

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a simple construction of Gromov hyperbolic Coxeter groups of arbitrarily large virtual cohomological dimension. Our construction provides new examples of such groups. Using this one can construct e.g. new groups having some interesting asphericity properties.

引用

页码：353 / 367

页数：15

共 50 条

[21] Sylvester Waves in the Coxeter Groups
Leonid G. Fel
Boris Y. Rubinstein
The Ramanujan Journal, 2002, 6 : 307 - 329
[22] On Growth Functions of Coxeter Groups
Bischof, Sebastian
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2025,
[23] Determinants of representations of Coxeter groups
Debarun Ghosh
Steven Spallone
Journal of Algebraic Combinatorics, 2019, 49 : 229 - 265
[24] Zariski closure of Coxeter groups
Benoist, Y
de la Harpe, P
COMPOSITIO MATHEMATICA, 2004, 140 (05) : 1357 - 1366
[25] Depth in classical Coxeter groups
Bagno, Eli
Biagioli, Riccardo
Novick, Mordechai
Woo, Alexander
JOURNAL OF ALGEBRAIC COMBINATORICS, 2016, 44 (03) : 645 - 676
[26] Higher Signs for Coxeter Groups
Zhiwei Yun
Peking Mathematical Journal, 2021, 4 (2) : 285 - 303
[27] Special matchings and Coxeter groups
Brenti, Francesco
Caselli, Fabrizio
Marietti, Mario
ARCHIV DER MATHEMATIK, 2007, 89 (04) : 298 - 310
[28] The deletion order and Coxeter groups
Nicolaides, Robert
Rowley, Peter
JOURNAL OF ALGEBRA, 2025, 677 : 215 - 236
[29] Determinants of representations of Coxeter groups
Ghosh, Debarun
Spallone, Steven
JOURNAL OF ALGEBRAIC COMBINATORICS, 2019, 49 (03) : 229 - 265
[30] On Isomorphisms between Coxeter Groups
Bernhard Mühlherr
Designs, Codes and Cryptography, 2000, 21 : 189 - 189

← 1 2 3 4 5 →