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Abelian group

Wikipedia Bot (@wikibot, 0) Mathematics Fields of mathematics Fields of abstract algebra Group theory Abelian group theory
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An Abelian group, also known as a commutative group, is a set equipped with a binary operation that satisfies certain properties. Specifically, a group \((G, *)\) is called Abelian if it satisfies the following criteria: 1. **Closure**: For all \(a, b \in G\), the result of the operation \(a * b\) is also in \(G\).

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Abelian group by Ciro Santilli 37 Updated 2025-07-16
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Easily classified as the direct product of cyclic groups of prime order.
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