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.GR2026
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 $…
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…