32 citations · 133 across the 29 of their papers we have counts for
33 papers
Boone-Higman embeddings of and mapping class groups of punctured surfaces
James Belk, Francesco Fournier-Facio, James Hyde +1
We prove that the groups satisfy the Boone-Higman conjecture for all , meaning each embeds in a finitely presented simple group. In fact,…
The Maximality of in Thompson's group
James Belk, Collin Bleak, Martyn Quick +1
We show that R. Thompson's group is a maximal subgroup of the group . The argument provides examples of foundational calculations which arise when expressing elements of …
Finite Germ Extensions
James Belk, James Hyde, Francesco Matucci
We prove finiteness properties for groups of homeomorphisms that have finitely many "singular points", and we describe the normal structure of such groups. As an application, we pr…
Boone--Higman Embeddings for Contracting Self-Similar Groups
James Belk, Francesco Matucci
We give a short proof that every contracting self-similar group embeds into a finitely presented simple group. In particular, any contracting self-similar group embeds into the cor…
Quasisymmetries of finitely ramified Julia sets
James Belk, Bradley Forrest
We develop a theory of quasisymmetries for finitely ramified fractals, with applications to finitely ramified Julia sets. We prove that certain finitely ramified fractals admit a n…
Thurston's theorem and the Nielsen-Thurston classification via Teichmüller's theorem
James Belk, Dan Margalit, Rebecca R. Winarski
We give a unified and self-contained proof of the Nielsen-Thurston classification theorem from the theory of mapping class groups and Thurston's characterization of rational maps f…