Height in splittings of relatively hyperbolic groups

被引：1
|
作者：
Pal, Abhijit [1 ]
机构：
[1] IIT Kanpur, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India
来源：
GEOMETRIAE DEDICATA | 2021年 / 213卷 / 01期
关键词：
Relatively hyperbolic groups; Hyperbolic groups; Graph of Groups; COMBINATION THEOREM;
D O I：
10.1007/s10711-020-00571-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a finite graph of relatively hyperbolic groups with its fundamental group relatively hyperbolic and edge groups quasi-isometrically embedded and relatively quasiconvex in vertex groups, we prove that vertex groups are relatively quasiconvex if and only if all the vertex groups have finite relative height in the fundamental group.
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页码：121 / 135
页数：15
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