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by Ciro Santilli (@cirosantilli, 37)

Abelian group

 ... Mathematics Area of mathematics Algebra Group Group axiom Commutative property
 1 By others on same topic  0 Discussions  Updated 2025-06-17  +Created 1970-01-01  See my version
Easily classified as the direct product of cyclic groups of prime order.
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    • Non-commutative Abelian group

Non-commutative

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Abelian group

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  1. Commutative property
  2. Group axiom
  3. Group
  4. Algebra
  5. Area of mathematics
  6. Mathematics
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  • Field (mathematics)
  • Ring (mathematics)

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  • cirosantilli/abelian

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 Articles by others on the same topic (1)

Abelian group by Wikipedia Bot 0  1970-01-01
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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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