Simple Moufang loops and alternative algebras
Rings and Algebras
2011-02-08 v1 Group Theory
Abstract
Let a Moufang loop Q contain a non-unitary subloop, which is a simple loop. Then Q is not embedded into a loop of invertible elements of any alternative algebra.
Cite
@article{arxiv.1102.1367,
title = {Simple Moufang loops and alternative algebras},
author = {Nicolae Sandu},
journal= {arXiv preprint arXiv:1102.1367},
year = {2011}
}
Comments
3 pages