Geodesic
On Two Problems Related to Associators of Moufang Loops
Matematičeskie zametki, Tome 101 (2017) no. 2, pp. 211-214

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A Moufang loop $M$ of order $3^{19}$ is constructed, together with a pair $a$, $b$ of elements of $M$, such that the set of all elements of $M$ associating with $a$ and $b$ is not a subloop. This also gives an example of a nonassociative Moufang loop with a generating set in which every three elements have trivial associator.
Keywords: Moufang loop
Mots-clés : associator, subloop. 
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     title = {On {Two} {Problems} {Related} to {Associators} of {Moufang} {Loops}},
     journal = {Matemati\v{c}eskie zametki},
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I. B. Gorshkov; A. N. Grishkov; A. V. Zavarnitsine. On Two Problems Related to Associators of Moufang Loops. Matematičeskie zametki, Tome 101 (2017) no. 2, pp. 211-214. http://geodesic.mathdoc.fr/item/MZM_2017_101_2_a5/