Direct products of free groups in ${\rm{Aut}}(F_N)$
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Accesso online: | |
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| _version_ | 1866910719037931520 |
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| author | Bridson, Martin R. Wade, Richard D. |
| author_facet | Bridson, Martin R. Wade, Richard D. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_01123 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Direct products of free groups in ${\rm{Aut}}(F_N)$ Bridson, Martin R. Wade, Richard D. Group Theory Geometric Topology 20E36, 20E05 (Primary) 20E08, 20E07 (Secondary) 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. |
| title | Direct products of free groups in ${\rm{Aut}}(F_N)$ |
| topic | Group Theory Geometric Topology 20E36, 20E05 (Primary) 20E08, 20E07 (Secondary) |
| url | https://arxiv.org/abs/2209.01123 |