New embeddings between the Higman-Thompson groups

2019/02/25 by Jean-Camille Birget, Birget, J. C.
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1902.09414

openalex publication_date 2019/02/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a direct proof that all Higman-Thompson groups of the form G_k,1 (for k ≥ 2) are embedded in one another, which is a recent result of N. Matte Bon. This extends the embeddings given by Higman in 1974.

Citations

• Rigidity properties of full groups of pseudogroups over the Cantor set

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