Technically speaking, without counting symmetries, there are only two cases for a permutation of corners in a layer: adjacent swap (AKA T permutation) and diagonal swap (AKA Y permutation).I was just wondering if someone out there knows short algs for a 2x2 that allow you to permute the corners without caring about the other layer.
Just tell me the algs and how they should be performed (which direction to hold the cube in).