English

Hyper-atoms and the Kemperman's critical pair Theory

Number Theory 2007-08-28 v1 Combinatorics

Abstract

In the present work, we introduce the notion of a hyper-atom and prove their main structure theorem. We then apply the global isoperimetric methodology to give a new proof for Kemperman's structure Theory and a slight improvement.

Keywords

Cite

@article{arxiv.0708.3581,
  title  = {Hyper-atoms and the Kemperman's critical pair Theory},
  author = {Yahya O. Hamidoune},
  journal= {arXiv preprint arXiv:0708.3581},
  year   = {2007}
}

Comments

16 pages

R2 v1 2026-06-21T09:10:54.375Z