Sylow's theorem for Moufang loops
Group Theory
2009-05-14 v1
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.
Cite
@article{arxiv.0709.2696,
title = {Sylow's theorem for Moufang loops},
author = {Alexander N. Grishkov and Andrei V. Zavarnitsine},
journal= {arXiv preprint arXiv:0709.2696},
year = {2009}
}
Comments
21 pages