COXETER GROUPS ARE ALMOST CONVEX

被引:0
|
作者
DAVIS, MW [1 ]
SHAPIRO, M [1 ]
机构
[1] OHIO STATE UNIV,DEPT MATH,COLUMBUS,OH 43210
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In [C] Cannon introduced the notion of 'almost convexity' for the Cayley graph of a finitely generated group. In this paper, we observe that standard facts about Coxeter groups imply that the Cayley graph associated to any Coxeter system is almost convex.
引用
收藏
页码:55 / 57
页数:3
相关论文
共 50 条
  • [1] Convex hulls of Coxeter groups
    Brandman, J
    Fowler, J
    Lins, B
    Spitkovsky, I
    Zobin, N
    [J]. FUNCTION SPACES, INTERPOLATION THEORY AND RELATED TOPICS, PROCEEDINGS, 2002, : 213 - 240
  • [2] ALMOST CONVEX GROUPS
    CANNON, JW
    [J]. GEOMETRIAE DEDICATA, 1987, 22 (02) : 197 - 210
  • [3] On convex hulls of orbits of Coxeter groups and Weyl groups
    Hofmann, Georg
    Neeb, Karl-Hermann
    [J]. MUENSTER JOURNAL OF MATHEMATICS, 2014, 7 (02): : 463 - 487
  • [4] Birkhoff's theorem and convex hulls of Coxeter groups
    McCarthy, N
    Ogilvie, D
    Spitkovsky, I
    Zobin, N
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 347 : 219 - 231
  • [5] ALMOST CONVEX GROUPS AND THE 8 GEOMETRIES
    SHAPIRO, M
    STEIN, M
    [J]. GEOMETRIAE DEDICATA, 1995, 55 (02) : 125 - 140
  • [6] Measuring the tameness of almost convex groups
    Hermiller, S
    Meier, J
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 353 (03) : 943 - 962
  • [7] Almost central involutions in split extensions of Coxeter groups by graph automorphisms
    Nuida, Koji
    [J]. JOURNAL OF GROUP THEORY, 2007, 10 (02) : 139 - 166
  • [8] Solvable Baumslag–Solitar Groups are not Almost Convex
    Charles F. Miller
    Michael Shapiro
    [J]. Geometriae Dedicata, 1998, 72 : 123 - 127
  • [9] Almost duality for Saito structure and complex reflection groups II: the case of Coxeter and Shephard groups
    Konishi, Yukiko
    Minabe, Satoshi
    [J]. PURE AND APPLIED MATHEMATICS QUARTERLY, 2020, 16 (03) : 721 - 754
  • [10] Solvable Baumslag-Solitar groups are not almost convex
    Miller, CF
    Shapiro, M
    [J]. GEOMETRIAE DEDICATA, 1998, 72 (02) : 123 - 127