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

[31] Growth tightness for word hyperbolic groups
Arzhantseva, GN
Lysenok, IG
MATHEMATISCHE ZEITSCHRIFT, 2002, 241 (03) : 597 - 611
[32] Central extensions of word hyperbolic groups
Neumann, WD
Reeves, L
ANNALS OF MATHEMATICS, 1997, 145 (01) : 183 - 192
[33] Growth tightness for word hyperbolic groups
G.N. Arzhantseva
I.G. Lysenok
Mathematische Zeitschrift, 2002, 241 : 597 - 611
[34] On quasiconvex subgroups of word hyperbolic groups
Arzhantseva, GN
GEOMETRIAE DEDICATA, 2001, 87 (1-3) : 191 - 208
[35] On Quasiconvex Subgroups of Word Hyperbolic Groups
G. N. Arzhantseva
Geometriae Dedicata, 2001, 87 : 191 - 208
[36] ON SOME QUOTIENT GROUPS OF HYPERBOLIC GROUPS
SEMENOV, YS
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1993, (03): : 88 - 90
[37] RESIDUAL PROPERTIES OF SOME CLASSES OF INFINITE SOLUBLE GROUPS
ROBINSON, DJ
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1968, 18 : 495 - &
[38] Some Results on Equivalence Groups
Ndogmo, J. C.
JOURNAL OF APPLIED MATHEMATICS, 2012,
[39] A lower bound on the growth of word hyperbolic groups
Arzhantseva, GN
Lysenok, IG
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2006, 73 : 109 - 125
[40] The compressed word problem in relatively hyperbolic groups
Holt, Derek
Rees, Sarah
JOURNAL OF ALGEBRA, 2022, 607 : 305 - 343

← 1 2 3 4 5 →