Judge Peter Cahill has found that Derek Chauvin abused his authority as a police officer when he restrained George Floyd in Minneapolis last year and that he treated Floyd with particular cruelty, paving the way for the possibility of a longer sentence for Chauvin.

Three people were killed in separate shootings in Minneapolis early Saturday, authorities said, though none of the shootings were related to protests in the city over the fatal shooting of a Black man by sheriff's deputies earlier in the week.

Authorities said Friday that a man wanted on a weapons violation fired a gun before deputies fatally shot him in Minneapolis, a city on edge since George Floyd's death more than a year ago under an officer's knee and the more recent fatal police shooting of Daunte Wright in a nearby suburb.