Abelian Group
- Natural & Formal Sciences -
Mathematics & Logic Dictionary
Definition
A group whose binary operation is commutative for every pair of elements; that is, for all a and b in the group, a * b = b * a.
Abelian Group
- Mathematics & Logic -
Pure Mathematics Dictionary
Definition
A group whose binary operation is commutative, so that for all elements a and b one has a·b = b·a.
Abelian Group
- Pure Mathematics -
Algebra Dictionary
Definition
A group (G, ·) whose binary operation is commutative: for all a, b in G, a·b = b·a. Equivalently, a group in which every pair of elements commutes under the group law.