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arXiv · 2502.21176

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

Carolyn Abbott·Stefanie Zbinden
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Abstract

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.

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Carolyn Abbott, Stefanie Zbinden. 2025-02-28. A non-loxodromic Morse element in a Morse local-to-global group. https://arxiv.org/abs/2502.21176

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