A nonamenable finitely presented group of piecewise projective homeomorphisms

作者：Lodha Yash^*; Moore Justin Tatch^*

来源：Groups, Geometry, and Dynamics, 2016, 10(1): 177-200.

DOI：10.4171/GGD/347

• Amenable
• finitely presented
• free group
• piecewise
• projective
• Thompson's group
• torsion free

In this article we will describe a finitely presented subgroup of the group of piecewise projective homeomorphisms of the real projective line. 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.

• 出版日期2016