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.
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页码：41 / 47
页数：7
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