Translation numbers in negatively curved groups

被引：1

作者：

Poleksic, A ^{[1
]}

机构：

[1] Florida State Univ, Dept Math, Tallahassee, FL 32306 USA

来源：

TOPOLOGY AND ITS APPLICATIONS | 2000年 / 102卷 / 02期

关键词：

negatively curved; translation number;

D O I：

10.1016/S0166-8641(98)00145-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a very short proof of the claim of Gromov that the translation numbers of elements in a negatively curved group are rational with bounded denominator. The proof provides a new bound for the size of denominator of these numbers. (C) 2000 Published by Elsevier Science B.V. All rights reserved.

引用

页码：203 / 205

页数：3

共 50 条

[1] Negatively curved groups and the convergence property .2. Transitivity in negatively curved groups
Freden, EM
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 1996, 21 (01): : 133 - 150
[2] Incoherent negatively curved groups
Wise, DT
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (04) : 957 - 964
[3] On quasiconvex subgroups of negatively curved groups
Gitik, R
JOURNAL OF PURE AND APPLIED ALGEBRA, 1997, 119 (02) : 155 - 169
[4] A COMBINATION THEOREM FOR NEGATIVELY CURVED GROUPS
BESTVINA, M
FEIGHN, M
JOURNAL OF DIFFERENTIAL GEOMETRY, 1992, 35 (01) : 85 - 101
[5] HYPERBOLIC ELEMENTS IN NEGATIVELY CURVED GROUPS
SWENSON, EL
GEOMETRIAE DEDICATA, 1995, 55 (02) : 199 - 210
[6] On the profinite topology on negatively curved groups
Gitik, R
JOURNAL OF ALGEBRA, 1999, 219 (01) : 80 - 86
[7] Fixed points in boundaries of negatively curved groups
Bowers, PL
Ruane, K
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (04) : 1311 - 1313
[8] Separable subsets of GFERF negatively curved groups
Minasyan, Ashot
JOURNAL OF ALGEBRA, 2006, 304 (02) : 1090 - 1100
[9] Ping-pong on negatively curved groups
Gitik, R
JOURNAL OF ALGEBRA, 1999, 217 (01) : 65 - 72
[10] FUNDAMENTAL-GROUPS OF NEGATIVELY CURVED MANIFOLDS AND ACTIONS OF SEMISIMPLE GROUPS
SPATZIER, RJ
ZIMMER, RJ
TOPOLOGY, 1991, 30 (04) : 591 - 601

← 1 2 3 4 5 →