In this work the authors develop a decomposition theory for
subgroups of $\mathsf{Out}(F_n)$ which generalizes the
decomposition theory for individual elements of $\mathsf{Out}(F_n)$
found in the work of Bestvina, Feighn, and Handel, and which is
analogous to the decomposition theory for subgroups of mapping
class groups found in the work of Ivanov.
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