Commutative Moufang loops and alternative algebras

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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 $x^3=0$.
15 pages

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Rings and Algebras, Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/174899

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0811.3787
 http://arxiv.org/abs/0811.3787

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arXiv