92 citations · 241 across the 21 of their papers we have counts for
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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 +…
There may be no minimal non -scattered linear orders
Hossein Lamei Ramandi, Justin Tatch Moore
In this paper we demonstrate that it is consistent, relative to the existence of a supercompact cardinal, that there is no linear order which is minimal with respect to being non $…
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…