92 citations · 241 across the 21 of their papers we have counts for
8 papers · 1 filter
Subgroups of which do not embed into Thompson's group
James Hyde, Justin Tatch Moore
We will give a general criterion - the existence of an -obstruction - for showing that a subgroup of does not embed into Thompson's group . An immediate con…
Complexity among the finitely generated subgroups of Thompson's group
Collin Bleak, Matthew G. Brin, Justin Tatch Moore
We demonstrate the existence of a family of finitely generated subgroups of Richard Thompson's group which is strictly well-ordered by the embeddability relation in type $ε_0 +…
Groups of fast homeomorphisms of the interval and the ping-pong argument
Collin Bleak, Matthew G. Brin, Martin Kassabov +2
We adapt the Ping-Pong Lemma, which historically was used to study free products of groups, to the setting of the homeomorphism group of the unit interval. As a consequence, we iso…
A finitely presented group of piecewise projective homeomorphisms
Yash Lodha, Justin Tatch Moore
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…
Nonassociative Ramsey Theory and the amenability of Thompson's group
Justin Tatch Moore
The purpose of this article is prove that Thompson's group F is amenable. The methods developed will then be used to prove a generalization of Hindman's theorem for the free nonass…
Amenability and Ramsey Theory
Justin Tatch Moore
The purpose of this article is to connect the notion of the amenability of a discrete group with a new form of structural Ramsey theory. The Ramsey theoretic reformulation of amena…