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

页码：1385 / 1411

页数：27

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