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Abelian group
A group that is commutative – in other words, in which the result of multiplying one member of the group by another is independent of the order of multiplication. Abelian groups, named after Niels Abel, are of central importance in modern mathematics, most notably in algebraic topology. Examples of Abelian groups include the real numbers (with addition), the non-zero real numbers (with multiplication), and all cyclic groups, such as the integers (with addition). Compare with non-Abelian.
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• MATHEMATICS
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