A Moufang loop with exceptional properties of associators
Gorshkov, Ilya B. · Grichkov, Alexandre N. · Zavarnitsine, Andrei V.
الأصل · EN
We construct a Moufang loop M of order 3¹⁹ and a pair a,b of its elements such that the set of all elements of M that associate with a and b does not form a subloop. This is also an example of a nonassociative Moufang loop with a generating set whose every three elements associate.
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