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Abelian Groups
In group theory, any group that retains the commutative property, that is a+b=b+a, is Abelian.
A group is a set of values with a common operator (often + or *) and an identity, such that any member of the group can be combined with any other member using the common operator, yielding a member of the group. Additionally, any member combined with the identity returns itself.
Lecture on some examples of simple Abelian groups.