Classification of minimal nonassociative Moufang loops of order pq

Abstrakt

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.

Klíčová slova

• Classification
• minimal
• nonassociative
• Moufang
• loops
• order