Fractional distortion in hyperbolic groups

Authors

Pallavi Dani, Louisiana State University
Timothy Riley, Cornell University

Document Type

Article

Publication Date

11-1-2025

Abstract

For all integers p>q>0 and k>0, and all non-elementary torsion-free hyperbolic groups H, we construct a hyperbolic group G in which H is a subgroup, such that the distortion function of H in G grows like exp^k⁡(n^p/q). Here, exp^k denotes the k-fold-iterated exponential function.

Publication Source (Journal or Book title)

Advances in Mathematics

Recommended Citation

Dani, P., & Riley, T. (2025). Fractional distortion in hyperbolic groups. Advances in Mathematics, 479 https://doi.org/10.1016/j.aim.2025.110418