James Hyde

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math.GR2025

Boone-Higman embeddings of $Aut (F_{n})$ and mapping class groups of punctured surfaces

James Belk, Francesco Fournier-Facio, James Hyde +1

We prove that the groups $Aut (F_{n})$ satisfy the Boone-Higman conjecture for all $n$ , meaning each $Aut (F_{n})$ embeds in a finitely presented simple group. In fact,…

math.GR2024

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 of Aut(Fn​) and mapping class groups of punctured surfaces

Finite Germ Extensions

Boone-Higman embeddings of $Aut (F_{n})$ and mapping class groups of punctured surfaces