138 citations · 512 across the 15 of their papers we have counts for
17 papers
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…
Commentary on Robert Riley's article "A personal account of the discovery of hyperbolic structures on some knot complements"
Matthew G. Brin, Gareth A. Jones, David Singerman
We give some background and biographical commentary on the postumous article that appears in this [journal issue | ArXiv] by Robert Riley on his part of the early history of hyperb…
Coloring Planar Graphs via Colored Paths in the Associahedra
Garry Bowlin, Matthew G. Brin
Hassler Whitney's theorem of 1931 reduces the task of finding proper, vertex 4-colorings of triangulations of the 2-sphere to finding such colorings for the class \(\mathfrak H\) o…
On Shavgulidze's Proof of the Amenability of some Discrete Groups of Homeomorphisms of the Unit Interval
Matthew G. Brin
Notes that elaborate on the details of a Theorem of Shavgulidze that implies the amenability of R. J. Thompson's group F.
The Free Group of Rank 2 is a Limit of Thompson's Group F
Matthew G. Brin
We show that the free group of rank 2 is a limit of 2-markings of Thompson's group F in the space of all 2-marked groups. More specifically, we find a sequence of generating pairs…