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Def/Abelian

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Definition of Abelian: Let $(G, \circ)$ be a group. $G$ is called abelian if its composition is a commutative operation. In other words, $G$ is abelian if $x \circ y = y \circ x$, for all $x,y \in G$.

Logical Connections

This definition logically relies on the following definitions and statements: Def/Group, Def/Commutative

The following statements and definitions logically rely on the material of this page: Def/Ring, Def/Vector space, and State/Groups of prime squared order are abelian

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