Direct Products of Free Groups in Aut(FN)

We give a complete description of the embeddings of direct products of nonabelian free groups into Aut( F N ) and 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...

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Bibliographic Details
Published in:Geometric and functional analysis 2024-10, Vol.34 (5), p.1337-1369
Main Authors: Bridson, Martin R., Wade, Richard D.
Format: Article
Language:English
Subjects:
Analysis
Mathematics
Mathematics and Statistics
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Summary:We give a complete description of the embeddings of direct products of nonabelian free groups into Aut( F N ) and 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.
ISSN:1016-443X
1420-8970
DOI:10.1007/s00039-024-00688-5