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Products of Commutators and Products of Squares in a Free Group

Leo P. Comerford Jr.·Charles C. Edmunds
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Abstract

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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Leo P. Comerford Jr., Charles C. Edmunds. 1993-10-15. Products of Commutators and Products of Squares in a Free Group. https://arxiv.org/abs/math/9310206

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