English

An analytic approach to a weak non-Abelian Kneser-type theorem

Classical Analysis and ODEs 2012-12-04 v1

Abstract

We prove the following result due to Hamidoune using an analytic approach. Suppose that A is a subset of a finite group G with |AA^{-1}| \leq (2-\varepsilon)|A|. Then there is a subgroup H of G and a set X of size O_\varepsilon(1) such that A \subset XH.

Keywords

Cite

@article{arxiv.1212.0457,
  title  = {An analytic approach to a weak non-Abelian Kneser-type theorem},
  author = {Tom Sanders},
  journal= {arXiv preprint arXiv:1212.0457},
  year   = {2012}
}

Comments

6pp

R2 v1 2026-06-21T22:47:58.703Z