Boundaries of CAT(0) groups of the form Γ=GxH

被引：6

作者：

Ruane, KE ^{[1
]}

机构：

[1] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

来源：

TOPOLOGY AND ITS APPLICATIONS | 1999年 / 92卷 / 02期

关键词：

word hyperbolic groups; CAT(0) spaces; boundary of groups; Tits metric;

D O I：

10.1016/S0166-8641(97)00236-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Boundaries of groups which admit geometric actions on CAT(0) spaces are not yet well-defined because the homeomorphism question of Gromov's has not been answered. This question, as well as the Tits metric question is answered affirmatively for CAT(0) groups of the form G x H when both factors an nonelementary word hyperbolic groups. (C) 1999 Published by Elsevier Science B.V. All rights reserved.

引用

页码：131 / 151

页数：21

共 11 条

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