Rigidity of the free factor complex
Group Theory
2023-06-12 v1 Geometric Topology
Abstract
We establish the following non-abelian analogue of the Fundamental Theorem of Projective Geometry: the natural map from to the automorphism group of the free-factor complex is an isomorphism. We also prove the corresponding theorem for the action of on the complex of conjugacy classes of free factors.
Cite
@article{arxiv.2306.05941,
title = {Rigidity of the free factor complex},
author = {Mladen Bestvina and Martin R Bridson},
journal= {arXiv preprint arXiv:2306.05941},
year = {2023}
}