13 citations · 29 across the 17 of their papers we have counts for
5 papers · 1 filter
Small doubling implies small tripling for balls of large radius
Romain Tessera, Matthew Tointon
We show that if is a parameter and is a finite symmetric subset of a group containing the identity such for some integer , then $|S^{3n}|…
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…
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^{…
Approximate subgroups of residually nilpotent groups
Matthew Tointon
We show that a K-approximate subgroup A of a residually nilpotent group G is contained in boundedly many cosets of a finite-by-nilpotent subgroup, the nilpotent factor of which is…
Freiman's theorem in an arbitrary nilpotent group
Matthew Tointon
We prove a Freiman-Ruzsa-type theorem valid in an arbitrary nilpotent group. Specifically, we show that a K-approximate subgroup A of an s-step nilpotent group G is contained in a…