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math.GR2017
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 +…
math.GR2017
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…