James Hyde

collaborators

2 papers

math.GR2025

A piecewise linear homeomorphism of the circle which is periodic under renormalization

James Belk, James Hyde, Justin Tatch Moore

We demonstrate the existence of a piecewise linear homeomorphism $f$ of $R / Z$ which maps rationals to rationals, whose slopes are powers of $\frac{2}{3}$ , and who…

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,…

A piecewise linear homeomorphism of the circle which is periodic under renormalization

Boone-Higman embeddings of Aut(Fn​) and mapping class groups of punctured surfaces

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