The equivalence of some residual properties of word-hyperbolic groups

被引：34
|
作者：
Kapovich, I [1 ]
Wise, DT
机构：
[1] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
[2] Cornell Univ, Dept Math, Ithaca, NY 14853 USA
来源：
JOURNAL OF ALGEBRA | 2000年 / 223卷 / 02期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1006/jabr.1999.8104
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that every word-hyperbolic group is residually finite if and only if every word-hyperbolic group has a finite quotient. (C) 2000 Academic Press.
引用
收藏
页码：562 / 583
页数：22
相关论文
共 50 条
  • [21] ON SOME ALGORITHMIC PROPERTIES OF HYPERBOLIC GROUPS
    LYSENOK, IG
    MATHEMATICS OF THE USSR-IZVESTIYA, 1989, 53 (04): : 145 - 163
  • [22] On the definition of word hyperbolic groups
    Gilman, RH
    MATHEMATISCHE ZEITSCHRIFT, 2002, 242 (03) : 529 - 541
  • [23] On the definition of word hyperbolic groups
    Robert H. Gilman
    Mathematische Zeitschrift, 2002, 242 : 529 - 541
  • [24] The SQ-universality and residual properties of relatively hyperbolic groups
    Arzhantseva, G.
    Minasyan, A.
    Osin, D.
    JOURNAL OF ALGEBRA, 2007, 315 (01) : 165 - 177
  • [25] The generalised word problem in hyperbolic and relatively hyperbolic groups
    Ciobanu, Laura
    Holt, Derek
    Rees, Sarah
    JOURNAL OF ALGEBRA, 2018, 516 : 149 - 171
  • [26] UNRECOGNIZABILITY OF SOME RESIDUAL PROPERTIES FOR FREE GROUPS
    ANOKHIN, MI
    SIBERIAN MATHEMATICAL JOURNAL, 1992, 33 (05) : 743 - 753
  • [27] Some residual properties of locally nilpotent groups
    Wehrfritz, B. A. F.
    JOURNAL OF ALGEBRA, 2011, 326 (01) : 277 - 285
  • [28] On Some Residual Properties of the Verbal Embeddings of Groups
    Mikaelian, Vahagn H.
    ADVANCES IN GROUP THEORY AND APPLICATIONS, 2016, 1 : 3 - 19
  • [29] Entropy and drift in word hyperbolic groups
    Gouezel, Sebastien
    Matheus, Frederic
    Maucourant, Francois
    INVENTIONES MATHEMATICAE, 2018, 211 (03) : 1201 - 1255
  • [30] Entropy and drift in word hyperbolic groups
    Sébastien Gouëzel
    Frédéric Mathéus
    François Maucourant
    Inventiones mathematicae, 2018, 211 : 1201 - 1255
12345