Hyperbolic extensions of free groups from atoroidal ping-pong

被引：6
|
作者：
Uyanik, Caglar [1 ]
机构：
[1] Yale Univ, Dept Math, New Haven, CT 06520 USA
来源：
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2019年 / 19卷 / 03期
关键词：
IRREDUCIBLE AUTOMORPHISMS; LAMINATIONS; TREES; DYNAMICS; SUBGROUPS; CURRENTS;
D O I：
10.2140/agt.2019.19.1385
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that all atoroidal automorphisms of Out (F-N) act on the space of projectivized geodesic currents with generalized north-south dynamics. As an application, we produce new examples of nonvirtually cyclic, free and purely atoroidal subgroups of Out (F-N) such that the corresponding free group extension is hyperbolic. Moreover, these subgroups are not necessarily convex cocompact.
引用
收藏
页码：1385 / 1411
页数：27
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