Moufang loops with commuting inner mappings
Group Theory
2015-09-21 v1
Abstract
We investigate the relation between the structure of a Moufang loop and its inner mapping group. Moufang loops of odd order with commuting inner mappings have nilpotency class at most two. -divisible Moufang loops with commuting inner mappings have nilpotency class at most two. There is a Moufang loop of order with commuting inner mappings and of nilpotency class three.
Cite
@article{arxiv.1509.05709,
title = {Moufang loops with commuting inner mappings},
author = {Gábor P. Nagy and Petr Vojtěchovský},
journal= {arXiv preprint arXiv:1509.05709},
year = {2015}
}