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We prove that the Brin-Thompson groups sV, also called higher dimensional Thompson's groups, are of type F_\infty for all natural numbers s. This result was previously shown for s up to 3, by… (More)
A group G is of type Fn if there is a K(G, 1) complex that has finite n-skeleton. It is of type F∞, if it is of type Fn for all n ∈ N. Here the property F1 is equivalent to G being finitely generated… (More)
We prove that the braided Thompson's groups Vbr and Fbr are of type F_\infty, confirming a conjecture by John Meier. The proof involves showing that matching complexes of arcs on surfaces are highly… (More)