James Hyde

activity

20142025

most citedUniversal sequences for the order-automorphisms of the rationals

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

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…

math.GR2022

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.GR2014★ 2 cited

Universal sequences for the order-automorphisms of the rationals

J. Hyde, J. Jonusas, J. D. Mitchell +1

In this paper, we consider the group Aut $(Q, \leq)$ of order-automorphisms of the rational numbers, proving a result analogous to a theorem of Galvin's for the symmetric g…

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

Finite Germ Extensions

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

Universal sequences for the order-automorphisms of the rationals

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