The Hopf property for subgroups of hyperbolic groups

被引：2

作者：

Bumagina, I ^{[1
]}

机构：

[1] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada

来源：

GEOMETRIAE DEDICATA | 2004年 / 106卷 / 01期

关键词：

hyperbolic groups; group action on real trees; decompositions of groups; endomorphisms of groups;

D O I：

10.1023/B:GEOM.0000033859.35966.4a

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A group is said to be Hopfian if every surjective endomorphism of the group is injective. We show that finitely generated subgroups of torsion-free hyperbolic groups are Hopfian. Our proof generalizes a theorem of Sela (Topology 35 (2) 1999, 301 - 321).

引用

页码：211 / 230

页数：20

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