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).
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页码：211 / 230
页数：20
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