Abelian group; commutative group
A group in which the operation is commutative. Used in abstract algebra.
The set of all integers forms an Abelian group under addition.
The theory of Abelian groups is one of the foundations of algebra.
non-Abelian group; noncommutative group
From 可換 (commutative) + 群 (group). The term is a direct translation of the Western mathematical concept.