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The Brin–Thompson
groups sV are of type
F∞
Martin G. Fluch, Marco Marschler, Stefan Witzel and Matthew C. B. Zaremsky |
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Vol. 266 (2013), No. 2, 283–295
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Abstract |
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We prove that the Brin–Thompson groups sV , also called higher-dimensional Thompson’s groups, are of type F∞ for all s ∈ ℕ. This result was previously shown for s ≤ 3, by considering the action of sV on a naturally associated space. Our key step is to replace this space by a subspace sX that is easier to analyze. |
Keywords
Thompson’s groups, finiteness properties
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Mathematical Subject Classification 2010
Primary: 20F65
Secondary: 57Q12
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Milestones
Received: 12 September 2012
Revised: 20 November 2012
Accepted: 25 November 2012
Published: 12 November 2013
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Authors |
| Martin G. Fluch | |
| Department of Mathematics Bielefeld University PO Box 100131 D-33501 Bielefeld Germany |
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| Marco Marschler | |
| Department of Mathematics Bielefeld University PO Box 100131 D-33501 Bielefeld Germany |
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| Stefan Witzel | |
| Mathematical Institute University of Münster Einsteinstraße 62 D-48149 Münster Germany |
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| Matthew C. B. Zaremsky | |
| Department of Mathematical
Sciences Binghamton University Binghamton, NY 13902 United States |
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