Thompson's group T has quadratic Dehn function

2024/10/30 by Matteo Migliorini, Migliorini, Matteo
Mathematics · #20F65 (Primary) 20F05 #20F69 (Secondary) #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2410.23088

openalex publication_date 2024/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that Thompson's group T and, more generally, all the Higman-Thompson groups T_n have quadratic Dehn function.

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