Dynamics of free group automorphisms and a subgroup alternative for out(fn)

Free groups;Mapping class groups;Pseudo-Anosov;Fully irreducible;Hyperbolic

Uyanik, Caglar

关键词: Free groups;    Mapping class groups;    Pseudo-Anosov;    Fully irreducible;    Hyperbolic;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/98133/UYANIK-DISSERTATION-2017.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

This thesis is motivated by a foundational result of Thurston which states that pseudo- Anosov mapping classes act on the compactified Teichmüller space with north-south dynamics. We prove that several analogues of pseudo-Anosov mapping classes in the Out(F_N) setting act on the space of projective geodesic currents with generalized north-south dynamics. As an application of our results, we prove several structural theorems for subgroups of Out(F_N).