Some additive applications of the isoperimetric approach

  title={Some additive applications of the isoperimetric approach},
  author={Yahya Ould Hamidoune},
Let G be a group and let X be a finite subset. The isoperimetric method investigates the objective function |(XB)\X |, defined on the subsets X with |X | ≥ k and |G\(XB)| ≥ k. In this paper we present all the basic facts about the isoperimetric method. We improve some of our previous results and obtain generalizations and short proofs for several known results. We also give some new applications. Some of the results obtained here will be used in coming papers [25, 26, 27] to improve Kempermann… CONTINUE READING