2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136758In 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.16 pagesNumber TheoryCombinatorics11P70; 11B25, 11B13Hyper-atoms and the Kemperman's critical pair Theorytext