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Abelian Group

A group in which the result of applying the group operation to two group elements does not depend on the order in which they are written.
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The statement of the theorem

A group (G,⋅)(G, \cdot) is abelian if for all a,b∈Ga, b \in G, a⋅b=b⋅aa \cdot b = b \cdot a.