Logo image
Home Academic units
Sign in
A non-loxodromic Morse element in a Morse local-to-global group
Preprint

A non-loxodromic Morse element in a Morse local-to-global group

Carolyn Abbott and Stefanie Zbinden
02/28/2025

Abstract

Mathematics - Geometric Topology Mathematics - Group Theory
We use small-cancellation techniques to construct a Morse local-to-global group G with an infinite-order Morse element that is not loxodromic in any action of G on a hyperbolic space. In particular, the element cannot be WPD.

Metrics

1 Record Views

Details

Logo image