As others have pointed out, this is a special case of a commutator. I don't know if this case has a standard name, but elsewhere I've seen it called "U-process"

As others have pointed out, this is a special case of a commutator. I don't know if this case has a standard name, but elsewhere I've seen it called "U-process": https://www.quora.com/Can-a-Rubiks-cube-be-solved-without-its-algorithms https://www.quora.com/Can-a-Rubiks-cube-be-solved-without-it.... If you're solving using commutators now and are looking to upgrade to a faster method in the same spirit, check out the Heise method. It's also an intuitive method (no memorization required), which starts off with block-building and finishes using commutators. I made the transition from commutator-only to Heise and am enjoying it, and I'm still very far off the speed cap for Heise. (Its creator reports averaging ~30sec: http://twistypuzzles.com/~sandy/forum/viewtopic.php?p=45076&sid=5fdc76affadce7962cf1372ffa3e67ec#p45076. http://twistypuzzles.com/~sandy/forum/viewtopic.php?p=45076&...)