On Cannon-Thurston maps for relatively hyperbolic groups

被引：3

作者：

Matsuda, Yoshifumi ^{[1
]}

Oguni, Shin-ichi ^{[2
]}

机构：

[1] Kyoto Univ, Dept Math, Sakyo Ku, Kyoto 6068502, Japan

[2] Ehime Univ, Fac Sci, Dept Math, Matsuyama, Ehime 7908577, Japan

来源：

JOURNAL OF GROUP THEORY | 2014年 / 17卷 / 01期

关键词：

TOPOLOGICAL CHARACTERIZATION; QUASICONVEXITY;

D O I：

10.1515/jgt-2013-0024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Baker and Riley gave an inclusion of a free group of rank 3 in a hyperbolic group for which the Cannon-Thurston map is not well-defined. By using their result, we show that every non-elementary hyperbolic group can be included in some hyperbolic group in such a way that the Cannon-Thurston map is not well-defined. In fact we generalize their result to every non-elementary relatively hyperbolic group.

引用

页码：41 / 47

页数：7

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