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How to tell if a group is abelian?
Properties of Abelian Groups The center of a group (the set of elements that commute with all group elements) is equal to itself. The converse is also true: if the center of a group is equal to the group itself, the group is abelian.
Properties of Abelian Groups The center of a group (the set of elements that commute with all group elements) is equal to itself. The converse is also true: if the center of a group is equal to the group itself, the group is abelian.