Abelian group

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An abelian group is a group in which the group operation is commutative. For a group to be considered "abelian", it must meet several requirements.

Closure

         For all $a,b$ $\in$ $S$, and for all operations $\bullet$, $a\bullet b \in S$.

Associativity

         For all $a,b,c$ $\in$ $S$ and all operations $\bullet$, $(a\bullet b)\bullet c=a\bullet(b\bullet c)$.



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