Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Right-angled Artin groups and Out(F_n) I: quasi-isometric embeddings   We construct quasi-isometric embeddings from right-angled Artin groups into
the outer automorphism group of a free group. These homomorphisms are in
analogy with those constructed in \cite{CLM}, where the target group is the
mapping class group of a surface. Toward this goal, we develop tools in the
free group setting that mirror those for surface groups as well as discuss
various analogs of subsurface projection; these may be of independent interest.

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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc