The Moufang loops of order 64 and 81
Group Theory
2015-09-21 v1
Abstract
We classify Moufang loops of order 64 and 81 up to isomorphism, using a linear algebraic approach to central loop extensions. In addition to the 267 groups of order 64, there are 4262 nonassociative Moufang loops of order 64. In addition to the groups of order , there are nonassociative Moufang loops of order , of which are commutative.
Keywords
Cite
@article{arxiv.1509.05700,
title = {The Moufang loops of order 64 and 81},
author = {Gábor P. Nagy and Petr Vojtěchovský},
journal= {arXiv preprint arXiv:1509.05700},
year = {2015}
}