Geodesic
Train track maps on graphs of groups
Rylee Alanza Lyman1 orcid
1Rutgers University–Newark, USA
Groups, geometry, and dynamics, Tome 16 (2022) no. 4, pp. 1389-1422

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DOI

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.
DOI : 10.4171/ggd/698
Classification : 20-XX
Mots-clés : Outer automorphism, train track map, graph of groups, tree

Rylee Alanza Lyman  1

1 Rutgers University–Newark, USA 
Rylee Alanza Lyman. Train track maps on graphs of groups. Groups, geometry, and dynamics, Tome 16 (2022) no. 4, pp. 1389-1422. doi: 10.4171/ggd/698
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     title = {Train track maps on graphs of groups},
     journal = {Groups, geometry, and dynamics},
     pages = {1389--1422},
     year = {2022},
     volume = {16},
     number = {4},
     doi = {10.4171/ggd/698},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/698/}
}
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