In this work we develop a decomposition theory for subgroups of O u t ( F n ) Out(F_n) which generalizes the decomposition theory for individual elements of O u t ( F n ) Out(F_n) found in work of Bestvina, Feighn, and Handel, and which is analogous to the decomposition theory for subgroups of mapping class groups found in work of Ivanov.
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Handel et al. (2020) studied this question.
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