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Keywords:
Moufang loop; order; nonassociative
Moufang loop; order; nonassociative
Summary:
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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