CAT(-1) structures for free-by-free groups

被引:3
|
作者
Brady, N [1 ]
Miller, A [1 ]
机构
[1] Univ Oklahoma, Dept Math, Norman, OK 73019 USA
基金
美国国家科学基金会;
关键词
free-by-free group; CAT(-1) group; tree-valued Morse theory; branched coverings of 2-complexes;
D O I
10.1023/A:1014945318104
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give a procedure for constructing CAT(-1) free-by-free groups which uses tree valued Morse theory and branched coverings of 2-complexes.
引用
收藏
页码:77 / 98
页数:22
相关论文
共 50 条
  • [1] CAT(-1) Structures for Free-by-Free Groups
    Noel Brady
    Andy Miller
    Geometriae Dedicata, 2002, 90 : 77 - 98
  • [2] Profinite completions of free-by-free groups contain everything
    Bridson, Martin R.
    QUARTERLY JOURNAL OF MATHEMATICS, 2024, 75 (01): : 139 - 142
  • [3] Groups of units of integral group rings commensurable with direct products of free-by-free groups
    Jespers, Eric
    Pita, Antonio
    del Rio, Angel
    Ruiz, Manuel
    Zalesskii, Pavel
    ADVANCES IN MATHEMATICS, 2007, 212 (02) : 692 - 722
  • [4] On CAT(0) structures for free-by-cyclic groups
    Samuelson, Peter
    TOPOLOGY AND ITS APPLICATIONS, 2006, 153 (15) : 2823 - 2833
  • [5] CAT(0) and CAT (-1) dimensions of torsion free hyperbolic groups
    Brady, Noel
    Crisp, John
    COMMENTARII MATHEMATICI HELVETICI, 2007, 82 (01) : 61 - 85
  • [6] A non-trivial example of a free-by-free group with the Haagerup property
    Gautero, Francois
    GROUPS GEOMETRY AND DYNAMICS, 2012, 6 (04) : 677 - 699
  • [7] Zn-free groups are CAT(0)
    Bumagin, Inna
    Kharlampovich, Olga
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2013, 88 : 761 - 778
  • [8] FREE GROUPS AND AUTOMORPHISM GROUPS OF INFINITE STRUCTURES
    Luecke, Philipp
    Shelah, Saharon
    FORUM OF MATHEMATICS SIGMA, 2014, 2
  • [9] Free actions of free groups on countable structures and property (T)
    Evans, David M.
    Tsankov, Todor
    FUNDAMENTA MATHEMATICAE, 2016, 232 (01) : 49 - 63
  • [10] Distortion of Surface Groups in CAT(0) free-by-cyclic Groups
    Josh Barnard
    Noel Brady
    Geometriae Dedicata, 2006, 120 : 119 - 139