A Generalization of Moufang and Steiner Loops
Group Theory
2007-05-23 v2
Abstract
We study a variety of loops, RIF, which arise naturally from considering inner mapping groups, and a somewhat larger variety, ARIF. All Steiner and Moufang loops are RIF, and all flexible C-loops are ARIF. We show that all ARIF loops are diassociative, thus generalizing Moufang's Theorem.
Cite
@article{arxiv.math/0105015,
title = {A Generalization of Moufang and Steiner Loops},
author = {Michael K. Kinyon and Kenneth Kunen and J. D. Phillips},
journal= {arXiv preprint arXiv:math/0105015},
year = {2007}
}
Comments
19 pp., 1 fig., uses amsart.cls, pifont.sty; to appear in Algebra Universalis