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arxiv: math/9310206 · v1 · submitted 1993-10-15 · 🧮 math.GR

Products of Commutators and Products of Squares in a Free Group

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keywords productsquarescommutatorsfreegroupproductsaddressedapplied
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A classification of the ways in which an element of a free group can be expressed as a product of commutators or as a product of squares is given. This is then applied to some particular classes of elements. Finally, a question about expressing a commutator as a product of squares is addressed.

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