Sylow's theorem for Moufang loops
arXiv:0709.2696 · doi:10.1016/j.jalgebra.2008.08.035
Abstract
For 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 pages