Geodesic
Possible orders of nonassociative Moufang loops
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 2, pp. 237-244.

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The paper surveys the known results concerning the question: ``For what values of $n$ does there exist a nonassociative Moufang loop of order $n$?'' Proofs of the newest results for $n$ odd, and a complete resolution of the case $n$ even are also presented.
Classification : 20N05
Keywords: Moufang loop; order; nonassociative 
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     title = {Possible orders of nonassociative {Moufang} loops},
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Chein, Orin; Rajah, Andrew. Possible orders of nonassociative Moufang loops. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 2, pp. 237-244. http://geodesic.mathdoc.fr/item/CMUC_2000__41_2_a2/