English

Presentations of higher dimensional Thompson groups

Group Theory 2013-09-04 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0501082,
  title  = {Presentations of higher dimensional Thompson groups},
  author = {Matthew G. Brin},
  journal= {arXiv preprint arXiv:math/0501082},
  year   = {2013}
}

Comments

35 pages, to appear in J. Algebra