of two elements and in a group with multiple operators
For groups without multiple operators (here the operation is usually called multiplication), the commutator of the elements and is the element . The set of all commutators in a group generates a subgroup, called the commutator subgroup of .
In an associative algebra the element is called the Lie product, or commutator, of and .
Commutator. O.A. Ivanova (originator), Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Commutator&oldid=16944