Difference between revisions of "Abelian group"
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An '''abelian group''' is a [[group]] in which the group [[operation]] is [[commutative]]. | An '''abelian group''' is a [[group]] in which the group [[operation]] is [[commutative]]. | ||
For a [[group]] to be considered "abelian", it must meet several requirements. | For a [[group]] to be considered "abelian", it must meet several requirements. | ||
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"Closure" | "Closure" | ||
For all <math>a,b</math> <math>\in</math> <math>S</math>, and for all functions <math>\bullet</math>, <math>a\bullet b \in S</math>. | For all <math>a,b</math> <math>\in</math> <math>S</math>, and for all functions <math>\bullet</math>, <math>a\bullet b \in S</math>. | ||
Revision as of 17:28, 12 August 2015
An abelian group is a group in which the group operation is commutative. For a group to be considered "abelian", it must meet several requirements.
"Closure"
For all
, and for all functions
,
.
, and for all functions 
, 
.
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