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Abelian group

219 bytes added, 15:19, 11 April 2017
Definition
===Equivalent formulations===
* A group <math>G</math> is termed abelian if its it satisfies the following equivalent conditions: * Its [[defining ingredient::center]] <math>Z(G)</math> is the whole group.* A group is abelian if its Its [[defining ingredient::derived subgroup]] <math>G" = [G,G]</math> is trivial.* (Choose a generating set <math>S</math> for <math>G</math>). For any elements <math>a,b \in S</math>, <math>ab = ba</math>.
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