English

Hyper-atoms applied to the critical pair Theory

Number Theory 2011-02-11 v1

Abstract

We introduce the notion of a hyper-atom and prove a basic property of this object. This new method allows to improve several results in the classical critical pair theory including its cornerstone: the Kemperman Structure Theorem.

Keywords

Cite

@article{arxiv.1102.2099,
  title  = {Hyper-atoms applied to the critical pair Theory},
  author = {Y. O. Hamidoune},
  journal= {arXiv preprint arXiv:1102.2099},
  year   = {2011}
}
R2 v1 2026-06-21T17:24:23.476Z