A Cartan-Hadamard type result for relatively hyperbolic groups

被引：2
作者：
Coulon, Remi [1 ]
Hull, Michael [2 ]
Kent, Curtis [3 ]
机构：
[1] Univ Rennes 1, CNRS, IRMAR, Batiment 22 & 23,263 Ave Gen Leclerc,CS 74205, F-35042 Rennes, France
[2] Univ Illinois, Dept Math Stat & Comp Sci, 322 Sci & Engn Off,M-C 249,851 S Morgan St, Chicago, IL 60607 USA
[3] NYU, Courant Inst Math, Room 1003,251 Mercer St, New York, NY 10012 USA
来源：
GEOMETRIAE DEDICATA | 2016年 / 180卷 / 01期
关键词：
Relatively hyperbolic; Asymptotic cones; Tree-graded spaces; TREE-GRADED SPACES; LIMIT GROUPS; GEOMETRY;
D O I：
10.1007/s10711-015-0105-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we prove that if a finitely presented group has an asymptotic cone which is tree-graded with respect to a precise set of pieces then it is relatively hyperbolic. This answers a question of Mark Sapir and generalizes a result of Kapovich and Kleiner to relatively hyperbolic groups.
引用
收藏
页码：339 / 371
页数：33
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