Henry Bradford

collaborators

4 papers

math.GR2026

Groups with arbitrarily poor permutation stability

Henry Bradford

We propose a quantitative notion of permutation stability for finitely generated groups. Our notion is related to, but distinct from, the ``stability rate'' introduced by Becker an…

math.GR2026

Groups of arbitrary lawlessness growth

Henry Bradford, Jacob Willis

For a finitely generated lawless group $I^$ and $n \in N$ , let $A_{I^} (n)$ be the minimal positive integer $M_{n}$ such that for all nontrivial reduced words $w$ of…

math.GR2026

Sofic actions, halo products, and metric approximations of groups

Vadim Alekseev, Henry Bradford

We introduce the notion of a ``sofic $C$ -action'' of one group on another by automorphisms, for $C$ a class of groups. We show that if $C$ is the clas…

math.GR2026

Non-solutions to mixed equations in acylindrically hyperbolic groups coming from random walks

Henry Bradford, Alessandro Sisto

A mixed equation in a group $G$ is given by a non-trivial element $w (x)$ of the free product $G * Z$ , and a solution is some $g \in G$ such that $w (g)$ is the identity.…