3 papers
math.GR2026
Action graphs, semiconjugacy, and non-embedding in Thompson's group
James Hyde, Rachel Skipper, Matthew C. B. Zaremsky
We prove a variety of results about subgroups of Thompson's group . First we prove that every action graph of a finitely generated subgroup of acting on an orbit in Cantor s…
math.GR2025
Embeddings into highly transitive and mixed identity free groups
James Hyde, Yash Lodha
Given a countable group , we develop a method to construct an overgroup that is finitely generated, highly transitive and mixed identity free. Our construction can be contro…
math.GR2024
On Ulam widths of finitely presented infinite simple groups
James Hyde, Yash Lodha
A fundamental notion in group theory, which originates in an article of Ulam and von Neumann from is uniform simplicity. A group is said to be -uniformly simple for $…