Surprising circles in Morse boundaries of right-angled Coxeter groups

被引:4
|
作者
Graeber, Marius
Karrer, Annette
Lazarovich, Nir
Stark, Emily
机构
基金
美国国家科学基金会; 以色列科学基金会;
关键词
Group boundaries; Right-angled Coxeter groups;
D O I
10.1016/j.topol.2021.107645
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show that the Morse boundary of a right-angled Coxeter group may contain embedded circles that do not arise as the boundary of a Morse Fuchsian subgroup visible in the defining graph. (c) 2021 Elsevier B.V. All rights reserved.
引用
收藏
页数:3
相关论文
共 50 条
  • [21] Aut-Invariant Word Norm on Right-Angled Artin and Right-Angled Coxeter Groups
    Marcinkowski, Michal
    MICHIGAN MATHEMATICAL JOURNAL, 2020, 69 (02) : 285 - 295
  • [22] Subgroup growth of right-angled Artin and Coxeter groups
    Baik, Hyungryul
    Petri, Bram
    Raimbault, Jean
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2020, 101 (02): : 556 - 588
  • [23] Right-angled Coxeter groups with Menger curve boundary
    Danielski, Daniel
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2022, 54 (03) : 977 - 995
  • [24] RECOGNIZING RIGHT-ANGLED COXETER GROUPS USING INVOLUTIONS
    Cunningham, Charles
    Eisenberg, Andy
    Piggott, Adam
    Ruane, Kim
    PACIFIC JOURNAL OF MATHEMATICS, 2016, 284 (01) : 41 - 77
  • [25] Geodesic growth in right-angled and even Coxeter groups
    Antolin, Yago
    Ciobanu, Laura
    EUROPEAN JOURNAL OF COMBINATORICS, 2013, 34 (05) : 859 - 874
  • [26] On the coarse geometry of certain right-angled Coxeter groups
    Hoang Thanh Nguyen
    Hung Cong Tran
    ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2019, 19 (06): : 3075 - 3118
  • [27] Geodesic growth of right-angled Coxeter groups based on trees
    Ciobanu, Laura
    Kolpakov, Alexander
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2016, 44 (02) : 249 - 264
  • [28] Stable commutator length in right-angled Artin and Coxeter groups
    Chen, Lvzhou
    Heuer, Nicolaus
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2023, 107 (01): : 1 - 60
  • [29] CO-CONTRACTIONS OF GRAPHS AND RIGHT-ANGLED COXETER GROUPS
    Kim, Jongtae
    Moon, Myoungho
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 49 (05) : 1057 - 1065
  • [30] The strong Atiyah conjecture for right-angled Artin and Coxeter groups
    Peter Linnell
    Boris Okun
    Thomas Schick
    Geometriae Dedicata, 2012, 158 : 261 - 266