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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Veröffentlicht in: | Geometric and functional analysis 2024-10, Vol.34 (5), p.1337-1369 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | 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. |
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ISSN: | 1016-443X 1420-8970 |
DOI: | 10.1007/s00039-024-00688-5 |