Abelian Group

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This glossary is far from complete. We are constantly adding math terms.
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Definition

Abelian Group A group [math]G\,[/math] is said to be abelian if for any two elements say, [math]a, b \text { in } G \text{, } a\cdot b = b \cdot a[/math] , where "[math]\cdot[/math]" represents the binary operation of [math]G\,[/math].

Examples

Examples of Abelian groups include:

• The real numbers (under addition),
• the non-zero real numbers (under multiplication), and
• all cyclic groups, such as the integers (under addition)

Web Resources

Wikipedia - Abelian Group Wiktionary - Abelian Group Wikibooks - Abstract Algebra