Sean Eberhard

activity

20122023

most citedCommuting probabilities of finite groups

34 citations · 245 across the 36 of their papers we have counts for

collaborators

Showing 2015 · math.GRShow all

3 papers · 2 filters

math.GR2015★ 3 cited

Product mixing in the alternating group

Sean Eberhard

We prove the following one-sided product-mixing theorem for the alternating group: Given subsets $X, Y, Z \subset A_{n}$ of densities $α, β, γ$ satisfying $\min(αβ,αγ,βγ)\gg n^{-1}(\log…

math.GR2015★ 2 cited

A note on nonabelian Freiman-Ruzsa

Sean Eberhard

Recently Breuillard and Tointon showed that one reasonable formulation of the polynomial Freiman-Ruzsa conjecture fails for nonabelian groups. We improve and simplify their constru…

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…