B. Green

activity

20032026

most citedA Szemeredi-type regularity lemma in abelian groups, with applications

113 citations · 646 across the 78 of their papers we have counts for

collaborators

Showing 2015Show all

4 papers · 1 filter

math.NT2015★ 5 cited

Fourier uniformity on subspaces

Ben Green, Tom Sanders

Let $F$ be a fixed finite field, and let $A \subset F^{n}$ . It is a well-known fact that there is a subspace $V \leq F^{n}$ , $\mbox{codim} V \ll_δ 1$, and an…

math.NT2015★ 19 cited

Monochromatic sums and products

Ben Green, Tom Sanders

Suppose that $F_{p}$ is coloured with $r$ colours. Then there is some colour class containing at least $c_{r} p^{2}$ quadruples of the form $(x, y, x + y, x y)$ .

math.GR2015★ 16 cited

Invariable generation of the symmetric group

Sean Eberhard, Kevin Ford, Ben Green

We say that permutations $π_{1}, \dots, π_{r} \in S_{n}$ invariably generate $S_{n}$ if, no matter how one chooses conjugates $π_{1}^{'}, \dots, π_{r}^{'}$ of these permutations, $π…

math.CO2015★ 18 cited

Permutations fixing a k-set

Sean Eberhard, Kevin Ford, Ben Green

Let $i (n, k)$ be the proportion of permutations $π \in S_{n}$ having an invariant set of size $k$ . In this note we adapt arguments of the second author to prove that $i(n,k) \…