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arXiv:2209.01123 [math.GR]AbstractReferencesReviewsResources

Direct products of free groups in ${\rm{Aut}}(F_N)$

Martin R. Bridson, Richard D. Wade

Published 2022-09-02Version 1

We give a complete description of the embeddings of direct products of nonabelian free groups into ${{\rm{Aut}}}(F_N)$ and ${{\rm{Out}}}(F_N)$ when the number of direct factors is maximal. To achieve this, we prove that the image of each such embedding has a canonical fixed point of a particular type in the boundary of Outer space.

Comments: 31 pages, 2 figures
Categories: math.GR, math.GT
Subjects: 20E36, 20E05, 20E08, 20E07
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