On the commutative center of Moufang loops
Group Theory
2021-04-20 v1
Abstract
We construct two infinite series of Moufang loops of exponent whose commutative center (i.e. the set of elements that commute with all elements of the loop) is not a normal subloop. In particular, we obtain examples of such loops of orders and one of which can be defined as the Moufang triplication of the free Burnside group .
Cite
@article{arxiv.1711.07001,
title = {On the commutative center of Moufang loops},
author = {Alexander N. Grishkov and Andrei V. Zavarnitsine},
journal= {arXiv preprint arXiv:1711.07001},
year = {2021}
}