2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230144For finite Moufang loops, we prove an analog of the first Sylow theorem giving a criterion of the existence of a p-Sylow subloop. We also find the maximal order of p-subloops in the Moufang loops that do not possess p-Sylow subloops.21 pagesGroup Theory08A05; 20N05; 17D05text