Some properties of subsets of hyperbolic groups

被引:13
|
作者
Minasyan, A [1 ]
机构
[1] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA
关键词
commensurators; conjugacy classes; hyperbolic groups;
D O I
10.1081/AGB-200051164
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We present some results about quasiconvex subgroups of infinite index and their products. After that we extend the standard notion of a subgroup commensurator to an arbitrary subset of a group and generalize some of the previously known results.
引用
收藏
页码:909 / 935
页数:27
相关论文
共 50 条
  • [31] On some convex cocompact groups in real hyperbolic space
    Desgroseilliers, Marc
    Haglund, Frederic
    GEOMETRY & TOPOLOGY, 2013, 17 (04) : 2431 - 2484
  • [32] Some remarks on homoclinic groups of hyperbolic toral automorphisms
    Gordin M.I.
    Journal of Mathematical Sciences, 1997, 87 (6) : 4067 - 4071
  • [33] Riesz operators and some spherical representations for hyperbolic groups
    Boyer, Adrien
    Picaud, Jean-Claude
    ISRAEL JOURNAL OF MATHEMATICS, 2025,
  • [34] Some algebraic properties of the hyperbolic systems
    Spagnolo, Sergio
    Taglialatela, Giovanni
    ANNALI DELL'UNIVERSITA DI FERRARA SEZIONE VII, SCIENZE MATEMATICHE, VOL 52, NO 2, 2006, 52 (02): : 457 - +
  • [35] Some algebraic properties of the hyperbolic systems
    Sergio Spagnolo
    Giovanni Taglialatela
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2006, 52 : 457 - 470
  • [36] Some properties of singular hyperbolic attractors
    Sataev, E. A.
    SBORNIK MATHEMATICS, 2009, 200 (1-2) : 35 - 76
  • [37] SOME PROPERTIES OF UNIFORM SUBSETS OF EUCLIDEAN PLANE
    KHARAZISHVILI, AB
    DOKLADY AKADEMII NAUK SSSR, 1977, 235 (04): : 779 - 782
  • [38] SOME PROPERTIES ON THE CLOSED SUBSETS IN BANACH SPACES
    Maaden, Abdelhakim
    Stouti, Abdelkader
    ARCHIVUM MATHEMATICUM, 2006, 42 (02): : 167 - 174
  • [39] Some properties of recognizable L-subsets
    Kobayashi, N
    THEORETICAL COMPUTER SCIENCE, 2003, 293 (01) : 83 - 113
  • [40] Some virtually special hyperbolic 3-manifold groups
    Chesebro, Eric
    DeBlois, Jason
    Wilton, Henry
    COMMENTARII MATHEMATICI HELVETICI, 2012, 87 (03) : 727 - 787