On the failure of the co-Hopf property for subgroups of word-hyperbolic groups

被引：15

作者：

Kapovich, I

Wise, DT

机构：

[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA

[2] Cornell Univ, Dept Math, Ithaca, NY 14853 USA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2001年 / 122卷 / 1期

关键词：

D O I：

10.1007/BF02809895

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide an example of a finitely generated subgroup H of a torsionfree word-hyperbolic group G such that H is one-ended. and H does not split over a cyclic group, and H is isomorphic to one of its proper subgroups.

引用

页码：125 / 147

页数：23

共 22 条

[1] On the failure of the co-hopf property for subgroups of word-hyperbolic groups
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Israel Journal of Mathematics, 2001, 122 : 125 - 147
[2] The Hopf Property for Subgroups of Hyperbolic Groups
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[3] The Hopf property for subgroups of hyperbolic groups
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[10] Systolic groups acting on complexes with no flats are word-hyperbolic
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