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In group theory, a word is any written product of group elements and their inverses. For example, if x, y and z are elements of a group G, then xy, z^-1xzz and y^-1zxx^-1yz^-1 are words in the set {x, y, z}. Two different words may evaluate to the same value in G, or even in every group. Words play an important role in the theory of free groups and presentations,

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