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
  • [31] On Isomorphisms between Coxeter Groups
    Bernhard Mühlherr
    [J]. Designs, Codes and Cryptography, 2000, 21 : 189 - 189
  • [32] Determinants of representations of Coxeter groups
    Ghosh, Debarun
    Spallone, Steven
    [J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 2019, 49 (03) : 229 - 265
  • [33] Twisted identities in Coxeter groups
    Hultman, Axel
    [J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 2008, 28 (02) : 313 - 332
  • [34] Coxeter groups and wavelet sets
    Larson, David R.
    Massopust, Peter
    [J]. FRAMES AND OPERATOR THEORY IN ANALYSIS AND SIGNAL PROCESSING, 2008, 451 : 187 - +
  • [35] Interval groups related to finite Coxeter groups I
    Baumeister, Barbara
    Neaime, Georges
    Rees, Sarah
    [J]. ALGEBRAIC COMBINATORICS, 2023, 6 (02): : 471 - 506
  • [36] Projective deformations of hyperbolic Coxeter 3-orbifolds
    Choi, Suhyoung
    Hodgson, Craig D.
    Lee, Gye-Seon
    [J]. GEOMETRIAE DEDICATA, 2012, 159 (01) : 125 - 167
  • [37] Projective deformations of hyperbolic Coxeter 3-orbifolds
    Suhyoung Choi
    Craig D. Hodgson
    Gye-Seon Lee
    [J]. Geometriae Dedicata, 2012, 159 : 125 - 167
  • [38] SEMIDIRECT PRODUCT DECOMPOSITION OF COXETER GROUPS
    Bonnafe, Cedric
    Dyer, Matthew J.
    [J]. COMMUNICATIONS IN ALGEBRA, 2010, 38 (04) : 1549 - 1574
  • [39] COXETER GROUPS, IMAGINARY CONES AND DOMINANCE
    Fu, Xiang
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 2013, 262 (02) : 339 - 363
  • [40] Coxeter groups, symmetries, and rooted representations
    Geneste, Olivier
    Paris, Luis
    [J]. COMMUNICATIONS IN ALGEBRA, 2018, 46 (05) : 1996 - 2002