3 papers
math.CO2019
A finitary structure theorem for vertex-transitive graphs of polynomial growth
Romain Tessera, Matthew Tointon
We prove a quantitative, finitary version of Trofimov's result that a connected, locally finite vertex-transitive graph G of polynomial growth admits a quotient with finite fibres…
math.GR2019
A brief introduction to approximate groups
Matthew Tointon
We give a brief introduction to the notion of an 'approximate group' and some of its numerous applications.
math.CO2018
Polylogarithmic bounds in the nilpotent Freiman theorem
Matthew Tointon
We show that if is a finite -approximate subgroup of an -step nilpotent group then there is a finite normal subgroup modulo which $A^{O_s(\log^{…