Powers of Elements in Jordan Loops

Details Powers of Elements in Jordan Loops Powers of Elements in Jordan Loops

2010-08-04

arxiv.org/abs/1008.0700v1

Commentationes Mathematicae Universitatis Carolinae, Volume 49(2), pp 291-299. 2008

Mathematics

Group Theory

7 pages, 3 figures

Scientific paper

A Jordan loop is a commutative loop satisfying the Jordan identity $(x^2 y) x
= x^2 (y x)$. We establish several identities involving powers in Jordan loops
and show that there is no nonassociative Jordan loop of order $9$.

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