A finitely presented group of piecewise projective homeomorphisms

2013/08/20 by Lodha, Yash, Moore, Justin Tatch
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1308.4250

Abstract

In this article we will describe a finitely presented subgroup of Monod's group of piecewise projective homeomorphisms of R. This in particular provides a new example of a finitely presented group which is nonamenable and yet does not contain a nonabelian free subgroup. It is in fact the first such example which is torsion free. We will also develop a means for representing the elements of the group by labeled tree diagrams in a manner which closely parallels Richard Thompson's group F.

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