TL;DR
This paper explores hyperbolic groups containing finite-rank free subgroups that exhibit extremely high distortion, reaching Ackermannian levels, highlighting complex subgroup behaviors within hyperbolic groups.
Contribution
It provides explicit examples of hyperbolic groups with highly distorted free subgroups, demonstrating novel subgroup distortion phenomena.
Findings
Existence of hyperbolic groups with Ackermannian distortion
Construction of free subgroups with extreme distortion
Insights into subgroup structure in hyperbolic groups
Abstract
We give examples of hyperbolic groups with finite-rank free subgroups of huge (Ackermannian) distortion.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Mathematics and Applications