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
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
收藏
页码:353 / 367
页数:15
相关论文
共 50 条
[41]   DETERMINANTAL HYPERSURFACES AND REPRESENTATIONS OF COXETER GROUPS [J].
Cuckovic, Zeljko ;
Stessin, Michael I. ;
Tchernev, Alexandre B. .
PACIFIC JOURNAL OF MATHEMATICS, 2021, 313 (01) :103-135
[42]   From Schritte and Wechsel to Coxeter Groups [J].
Schmidmeier, Markus .
MATHEMATICS AND COMPUTATION IN MUSIC, MCM 2019, 2019, 11502 :113-124
[43]   Strongly rigid even Coxeter groups [J].
Bahls, P .
TOPOLOGY PROCEEDINGS, VOL 28, NO 1, 2004, 2004, 28 (01) :19-54
[44]   Twisted Weak Orders of Coxeter Groups [J].
Weijia Wang .
Order, 2019, 36 :511-523
[45]   ON PAIRED ROOT SYSTEMS OF COXETER GROUPS [J].
Fu, Xiang .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2018, 105 (03) :347-365
[46]   NONORTHOGONAL GEOMETRIC REALIZATIONS OF COXETER GROUPS [J].
Fu, Xiang .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2014, 97 (02) :180-211
[47]   Twisted Weak Orders of Coxeter Groups [J].
Wang, Weijia .
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2019, 36 (03) :511-523
[48]   The topology at infinity of Coxeter groups and buildings [J].
Davis, MN ;
Meier, J .
COMMENTARII MATHEMATICI HELVETICI, 2002, 77 (04) :746-766
[49]   On the Hurwitz action in affine Coxeter groups [J].
Wegener, Patrick .
JOURNAL OF PURE AND APPLIED ALGEBRA, 2020, 224 (07)
[50]   Clifford Algebra is the Natural Framework for Root Systems and Coxeter Groups. Group Theory: Coxeter, Conformal and Modular Groups [J].
Pierre-Philippe Dechant .
Advances in Applied Clifford Algebras, 2017, 27 :17-31