Steiner Loops Satisfying the Statement of Moufang's Theorem
Group Theory
2015-09-23 v1
Abstract
Andrew Rajah posed at the Loops'11 Conference in Trest, Czech Republic, the following conjecture: Is every variety of loops that satisfies Moufang's theorem contained in the variety of Moufang loops? This paper is motivated by that problem. We give a partial answer to this question and present two types of Steiner loops, one that satisfies Moufang's theorem and another that does not, and neither is Moufang loop.
Keywords
Cite
@article{arxiv.1509.06364,
title = {Steiner Loops Satisfying the Statement of Moufang's Theorem},
author = {Maria de Lourdes Merlini Giuliani and Giliard Souza dos Anjos and Charles J. Colbourn},
journal= {arXiv preprint arXiv:1509.06364},
year = {2015}
}