A Moufang loop with exceptional properties of associators
Group Theory
2015-09-03 v1
Abstract
We construct a Moufang loop of order and a pair of its elements such that the set of all elements of that associate with and does not form a subloop. This is also an example of a nonassociative Moufang loop with a generating set whose every three elements associate.
Cite
@article{arxiv.1509.00559,
title = {A Moufang loop with exceptional properties of associators},
author = {Ilya B. Gorshkov and Alexandre N. Grichkov and Andrei V. Zavarnitsine},
journal= {arXiv preprint arXiv:1509.00559},
year = {2015}
}