In
mathematics, a
nonabelian group, sometimes called a
noncommutative group, is a
group (
G, ∗ ) in which there exists at least one pair of elements
a and
b of
G, such that
a ∗
b ≠
b ∗
a. This class of groups contrasts with the
abelian groups. (In an abelian group, all pairs of group elements
commute).