Abelian Group
An Abelian group is a group for which the binary operation is commutative.
Abelian group is a college-level concept that would be first encountered in an abstract algebra course covering group theory.
Examples
| Cyclic Group: |
A cyclic graph is an (always Abelian) abstract group generated by a single element. |
Prerequisites
| Commutative: |
An operation * is said to be commutative if x*y = y*x for all x and y. |
| Group: |
A mathematical group is a set of elements and a binary operation that together satisfy the four fundamental properties of closure, associativity, the identity property, and the inverse property. |
Classroom Articles on Group Theory
Classroom Articles on Abstract Algebra (Up to College Level)
