Growth of finitely generated subgroups of the topological full groups of inverse semigroups of bounded type

2024/09/29 by Zheng Kuang, Kuang, Zheng · 2 citations
Computer Science · Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR) #Mathematical Dynamics and Fractals #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2409.19491

openalex publication_date 2024/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given an inverse semigroup G₀ of bounded type, we show, along with some other assumptions, that if the set of incompressible elements of G₀ is finite, then any finitely generated subgroup G of the topological full group F(G₀) that is orbit equivalent to G₀ has subexponential growth with a bounded power in the exponent.

Cited by

• Near full groups of bounded type, \rom1
• Near full groups of bounded type, \rom2

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