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Questions about non-associative algebras other than Lie algebras.
5
votes
What's the maximum probability of associativity for triples in a nonassociative loop?
This is a bit too long for a comment, so it's an answer. The Loops package for Gap, by Gabor Nagy and Petr Vojtechovsky contains implementations of all the nonassociative Moufang loops of order $\leq …