We prove that for positive integers m ≥ 1, n ≥ 1 and a prime number p ≠ 2,3 there are finitely many finite m-generated Moufang loops of exponent pn. For groups this result was proved by Efim Zelmanov.

My talk is based on joint research with Alexander Grishkov and Efim Zelmanov.

This video was produced by the Universidade de São Paulo, as part of the LieJor Online Seminar: Algebras, Representations, and Applications.