Geodesic
Right-angled Artin groups and Out($\mathbb F_n$) – I. Quasi-isometric embeddings
Samuel J. Taylor1 orcid
1University of Texas at Austin, USA
Groups, geometry, and dynamics, Tome 9 (2015) no. 1, pp. 275-316

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DOI

We construct quasi-isometric embeddings from right-angled Artin groups into the outer automorphism group of a free group. These homomorphisms are modeled on the homomorphisms into the mapping class group constructed by Clay, Leininger, and Mangahas. Toward this goal, we develop tools in the free group setting that mirror those for surface groups and discuss various analogs of subsurface projection.
DOI : 10.4171/ggd/313
Classification : 20-XX, 57-XX
Mots-clés : Free group, outer automorphism group, Out(Fn​), right-angled Artin group

Samuel J. Taylor  1

1 University of Texas at Austin, USA 
Samuel J. Taylor. Right-angled Artin groups and Out($\mathbb F_n$) – I. Quasi-isometric embeddings. Groups, geometry, and dynamics, Tome 9 (2015) no. 1, pp. 275-316. doi: 10.4171/ggd/313
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     author = {Samuel J. Taylor},
     title = {Right-angled {Artin} groups and {Out(}$\mathbb F_n$) {\textendash} {I.} {Quasi-isometric} embeddings},
     journal = {Groups, geometry, and dynamics},
     pages = {275--316},
     year = {2015},
     volume = {9},
     number = {1},
     doi = {10.4171/ggd/313},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/313/}
}
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