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arXiv · 1207.4832

The Brin-Thompson groups sV are of type F_\infty

Martin Fluch·Marco Marschler·Stefan Witzel·Matthew C. B. Zaremsky
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Abstract

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 considering the action of sV on a naturally associated space. Our key step is to retract this space to a subspace sX which is easier to analyze.

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Martin Fluch, Marco Marschler, Stefan Witzel, Matthew C. B. Zaremsky. 2012-07-20. The Brin-Thompson groups sV are of type F_\infty. https://doi.org/10.2140/pjm.2013.266.283

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