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arXiv · 0811.3787

Commutative Moufang loops and alternative algebras

Alexander N. Grishkov·Ivan P. Shestakov
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Abstract

We compute the orders of free commutative Moufand loops of exponent 3 with $n\leq 7$ free generators and find embeddings of such loops into a loop of invertible elements of the free commutative alternative algebra with identity $x^3=0$.

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Alexander N. Grishkov, Ivan P. Shestakov. 2008-11-24. Commutative Moufang loops and alternative algebras. https://arxiv.org/abs/0811.3787

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