Train track maps on graphs of groups

Groups, geometry, and dynamics

article

Rylee Alanza Lyman¹ 

[1] Rutgers University–Newark

关键词: Outer automorphism;    train track map;    graph of groups;    tree;   

DOI  :  10.4171/ggd/698

学科分类：神经科学

来源: European Mathematical Society

【 摘 要 】

In this paper we develop the theory of train track maps on graphs of groups. Expanding a definition of Bass, we define a notion of a map of a graph of groups, and of a homotopy equivalence. We prove that under one of two technical hypotheses, any homotopy equivalence of a graph of groups may be represented by a relative train track map. The first applies in particular to graphs of groups with finite edge groups, while the second applies in particular to certain generalized Baumslag–Solitar groups.

【 授权许可】

CC BY