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