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 inGeometric and functional analysis Vol. 34; no. 5; pp. 1337 - 1369
Main Authors Bridson, Martin R., Wade, Richard D.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.10.2024
Springer Nature B.V
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