Relative hyperbolicity of ascending HNN extension of groups
Group Theory
2024-12-12 v1 Geometric Topology
Abstract
We prove that for a finitely generated group G with a free factor system and an injective endomorphism that preserves the free factor system, the ascending HNN extension of G is hyperbolic relative to a collection of maximal parabolic subgroups. As a corollary, we see that if an injective endomorphism of a finite rank free group F is exponentially growing, the ascending HNN extension of F is relatively hyperbolic.
Keywords
Cite
@article{arxiv.2412.08140,
title = {Relative hyperbolicity of ascending HNN extension of groups},
author = {Swathi Krishna},
journal= {arXiv preprint arXiv:2412.08140},
year = {2024}
}
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19 pages