Higher topological complexity of hyperbolic groups

We prove for non-elementary torsion-free hyperbolic groups Γ and all r ≥ 2 that the higher topological complexity TCr(Γ) is equal to r · cd(Γ). In particular, hyperbolic groups satisfy the rationality conjecture on the TC-generating function, giving an affirmative answer to a question of Farber and...

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Bibliographic Details
Main Authors: Hughes, S, Li, K
Format: Journal article
Language:English
Published: Springer 2022

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