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arXiv · 2609.11880

Conjugator length in finitely generated groups

G. Goffer·M. Mihaila·D. Osin
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Abstract

We describe all functions $\mathbb{N}\rightarrow \mathbb{N}$ that can be realized, up to the standard equivalence, as conjugator length functions of finitely generated groups. Furthermore, we show that any two increasing functions $f,g\colon \mathbb N\to \mathbb N$ can be simultaneously realized as conjugator length functions of finitely generated, commensurable (in particular, quasi-isometric) groups.

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G. Goffer, M. Mihaila, D. Osin. 2026-09-10. Conjugator length in finitely generated groups. https://arxiv.org/abs/2609.11880

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