Keith Kearnes (University of Colorado Boulder): Varieties of algebras whose commutator operation is commutative

Abstract:
The commutator operation applied to normal subgroups of a group is commutative. The commutator operation applied to congruences of a semigroup is not always commutative. The essential difference between these two examples is that the variety of groups has a ``Kiss term'' (named after Emil Kiss), while the variety of semigroups does not.

In my talk, I will discuss the problem of recognizing whether a variety has a commutative commutator (and I will also consider the analogous problem for nine other commutator properties).

Zoom link: https://us06web.zoom.us/j/87108743152?pwd=Rk1NS3lrTjJkUzNMdjR5VkxnUTZZUT09
Meeting ID: 871 0874 3152
Passcode: 013115