Publication at Faculty of Mathematics and Physics |

2013

An open problem in the theory of Moufang loops which are minimally nonassociative, that is, loops which are nonassociative but where all proper subloops are associative. A related question is to classify all integers n for which a minimally nonassociative loop exists.

Here we complete the classification of minimally nonassociative Moufang loops of order pq for primes p less than q.