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arXiv · 1105.3714

Presentations for the higher dimensional Thompson's groups nV

Johanna Hennig·Francesco Matucci
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Abstract

In his papers [2], [3] Brin introduced the higher dimensional Thompson groups nV which are generalizations to the Thompson's group V of self-homeomorphisms of the Cantor set and found a finite set of generators and relations in the case n = 2. We show how to generalize his construction to obtain a finite presentation for every positive integer n. As a corollary, we obtain another proof that the groups nV are simple (first proved by Brin in [4]).

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Johanna Hennig, Francesco Matucci. 2011-05-18. Presentations for the higher dimensional Thompson's groups nV. https://arxiv.org/abs/1105.3714

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