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Possible orders of nonassociative Moufang loops

Orin CheinAndrew Rajah — 2000

Commentationes Mathematicae Universitatis Carolinae

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.

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