Tue, 3 Oct 2023, 1:25 pm MDT
In some varieties close to groups, there are two competing notions of solvability, one coming from the commutator theory of congruence modular varieties and the other from the classical solvability of group theory. In this talk we will explore the two notions of solvability. Among other results, we will show that they agree in finite Moufang loops. If time permits, I will also mention some recent results on supernilpotence of groups and loops. This is joint work with Ales Drapal and David Stanovsky.