Henry Bradford

activity

20142026

most citedUniform Diameter Bounds in Branch Groups

1 citations · 3 across the 20 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.GR2017

Constructing Directed Cayley Graphs of Small Diameter: A Potent Solovay-Kitaev Procedure

Henry Bradford

Let $Γ$ be a group and $(Γ_{n})_{n = 1}^{\infty}$ be a descending sequence of finite-index normal subgroups. We establish explicit upper bounds on the diameters of the directed Cayley…

math.GR2017★ 1 cited

Uniform Diameter Bounds in Branch Groups

Henry Bradford

Let $G$ be either the Grigorchuk $2$ -group or one of the Gupta-Sidki $p$ -groups. We give new upper bounds for the diameters of the quotients of $G$ by its level stabilisers, as wel…

math.GR2017

Short Laws for Finite Groups and Residual Finiteness Growth

Henry Bradford, Andreas Thom

We prove that for every $n \in N$ and $δ > 0$ there exists a word $w_{n} \in F_{2}$ of length $n^{2/3} lo g (n)^{3 + δ}$ which is a law for every finite group of order at most $n$ .…