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arXiv · 1008.0700

Powers of Elements in Jordan Loops

Kyle Pula
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Abstract

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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Kyle Pula. 2010-08-04. Powers of Elements in Jordan Loops. https://arxiv.org/abs/1008.0700

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