2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102154We use methods of combinatorial number theory to prove that, for each $n>1$ and any prime $p$, some homotopy group $π_i(SU(n))$ contains an element of order $p^{n-1+ord_p([n/p]!)}$, where $ord_p(m)$ denotes the largest integer $α$ such that $p^α$ divides $m$.20 pagesAlgebraic TopologyNumber Theory55Q52; 57T20; 11A07; 11B65; 11S05text