When is a Bol loop Moufang?
Group Theory
2012-10-01 v3 Rings and Algebras
Abstract
There are a number of identities which, if satisfied by a Bol loop, imply that the loop is actually Moufang. In this paper we show that in a number of cases, the Moufang identity is also forced not by a single identity, but by giving elements a choice of equations to satisfy.
Cite
@article{arxiv.0803.2205,
title = {When is a Bol loop Moufang?},
author = {Orin Chein and Edgar G. Goodaire and Michael Kinyon},
journal= {arXiv preprint arXiv:0803.2205},
year = {2012}
}
Comments
11 pages. V.2: new result: no SRAR loops of odd order; other minor revisions. V3: final version with referee's suggestions, to appear in Alg. Colloq. Note new title and abstract