A short proof of Kneser's theorem via transversals

TL;DR

This paper presents a concise proof of Kneser's theorem using the concept of transversals, simplifying the understanding of this important result in additive combinatorics.

Contribution

It introduces a novel, streamlined proof method for Kneser's theorem based on transversal techniques, offering a clearer approach compared to previous proofs.

Findings

Proof is significantly shorter and more accessible

Method can be applied to related combinatorial problems

Enhances understanding of the theorem's structure

Abstract

A very short proof of Kneser's theorem via transversal is given.