Hyperbolic Immersions of Free Groups
Group Theory
2021-10-01 v2
Abstract
We prove that the mapping torus of a graph immersion has a word-hyperbolic fundamental group if and only if the corresponding endomorphism does not produce Baumslag-Solitar subgroups. Due to a result by Reynolds, this theorem applies to all injective endomorphisms of and nonsurjective fully irreducible endomorphisms of . We also give a framework for extending the theorem to all injective endomorphisms of .
Cite
@article{arxiv.1809.04761,
title = {Hyperbolic Immersions of Free Groups},
author = {Jean Pierre Mutanguha},
journal= {arXiv preprint arXiv:1809.04761},
year = {2021}
}
Comments
Argument streamlined and generalized; terminology changed; 19 pages, 4 figures