Hyperbolicity of Multiple Ascending HNN Extensions of Free Groups
SK Kiran Ajij

TL;DR
This paper extends the understanding of hyperbolic properties of multiple ascending HNN extensions of free groups to include hyperbolic non-surjective endomorphisms, generalizing prior results on automorphisms.
Contribution
It generalizes previous results by showing hyperbolicity for multiple HNN extensions with hyperbolic non-surjective endomorphisms of free groups.
Findings
Extension of hyperbolicity results to non-surjective endomorphisms
Construction of multiple HNN extensions with hyperbolic properties
Generalization of Bestvina-Feighn-Handel theorem
Abstract
Bestvina-Feighn-Handel show that for finitely many generic and independent hyperbolic automorphisms of , the resulting extension is hyperbolic. This paper generalizes the above statement to the case where are hyperbolic non-surjective endomorphisms of . In our case the output is a multiple HNN extension associated to a graph with one vertex and edges. All edge and vertex groups are isomorphic to .
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