Henry Bradford

activity

20172022

most citedUniform Diameter Bounds in Branch Groups

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

collaborators

5 papers

math.GR2022

Controlling LEF growth in some group extensions

Henry Bradford

We study the LEF growth function of a finitely generated LEF group $Γ$ , which measures the orders of finite groups admitting local embeddings of balls in a word metric on $Γ$ . We p…

math.GR2022★ 1 cited

Quantifying lawlessness in finitely generated groups

Henry Bradford

We introduce a quantitative notion of lawlessness for finitely generated groups, encoded by the "lawlessness growth function" $A_{Γ} : N \to N$ . W…

math.GR2021

Quantifying local embeddings into finite groups

Henry Bradford

We study a function $L_{Γ}$ which quantifies the LEF (local embeddability into finite groups) property for a finitely generated group $Γ$ . We compute this "LEF growth" func…

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…