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Wed, 11 Nov 2026
16:00
C5

Distortion, Snowflake Groups, and the Conjugator Length Spectrum

Andrew Wood
((Mathematical Institute University of Oxford))
Abstract

We show that the conjugator length spectrum of finitely presented groups contains every rational number in [1, ∞︎).  In particular, this shows there is no gap in the conjugator length spectrum, which is in contrast to isoperimetric spectra.  Our construction relies on upgrading distortion of cyclic subgroups to conjugator length functions, which we apply to snowflake groups.

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