Direct products of free groups in Aut(F_N)

We give a complete description of the embeddings of direct products of nonabelian free groups into Aut(F<sub>N</sub>) and Out(F<sub>N</sub>) when the number of direct factors is maximal. To achieve this, we prove that the image of each such embedding has a canonical fixed poi...

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Príomhchruthaitheoirí: Bridson, MR, Wade, R
Formáid: Journal article
Teanga:English
Foilsithe / Cruthaithe: Springer Nature 2024
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Achoimre:We give a complete description of the embeddings of direct products of nonabelian free groups into Aut(F<sub>N</sub>) and Out(F<sub>N</sub>) 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.