New proofs of Plünnecke-type estimates for product sets in groups
New proofs of Plünnecke-type estimates for product sets in groups
We present a new method to bound the cardinality of product sets in groups and give three applications. A new and unexpectedly short proof of the Plünnecke-Ruzsa sumset inequalities for commutative groups. A new proof of a theorem of Tao on triple products, which generalises these inequalities when no assumption …