Presentations of higher dimensional Thompson groups

Details Presentations of higher dimensional Thompson groups Presentations of higher dimensional Thompson groups

2005-01-06

arxiv.org/abs/math/0501082v1

Mathematics

Group Theory

35 pages, to appear in J. Algebra

Scientific paper

In a previous paper, we defined a higher dimensional analog of Thompson's group V, and proved that it is simple, infinite, finitely generated, and not isomorphic to any of the known Thompson groups. There are other Thompson groups that are infinite, simple and finitely presented. Here we show that the new group is also finitely presented by calculating an explicit finite presentation.

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