Direct Products of Free Groups in Aut(FN)
Abstract 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.
Authors
- Martin R. Bridson (ORCID: https://orcid.org/0000-0002-0080-9059)
- Richard D. Wade (ORCID: https://orcid.org/0000-0001-9274-3474)
Institutions
- University of Oxford (GB)
Publication Details
- Journal
- Geometric and Functional Analysis
- Published
- 2024-08-05
- DOI
- https://doi.org/10.1007/s00039-024-00688-5
- Citations
- 1
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00