32 citations · 101 across the 26 of their papers we have counts for
34 papers
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…
Hyperbolic groups satisfy the Boone-Higman conjecture
James Belk, Collin Bleak, Francesco Matucci +1
The 1973 Boone-Higman conjecture predicts that every finitely generated group with solvable word problem embeds in a finitely presented simple group. In this paper, we show that hy…
Progress around the Boone-Higman Conjecture
James Belk, Collin Bleak, Francesco Matucci +1
A conjecture of Boone and Higman from the 1970's asserts that a finitely generated group has solvable word problem if and only if can be embedded into a finitely presented…
On some questions related to integrable groups
Russell Blyth, Francesco Fumagalli, Francesco Matucci
A group is integrable if it is isomorphic to the derived subgroup of a group ; that is, if , and in this case is an integral of . If is a subgroup of…
A short proof of Rubin's theorem
James Belk, Luke Elliott, Francesco Matucci
In a remarkable theorem, M. Rubin proved that if a group acts in a locally dense way on a locally compact Hausdorff space without isolated points, then the space and th…