Products of Commutators and Products of Squares in a Free Group

@article{Comerford1994ProductsOC,
  title={Products of Commutators and Products of Squares in a Free Group},
  author={Leo P. Comerford and Charles C. Edmunds},
  journal={IJAC},
  year={1994},
  volume={4},
  pages={469-480}
}
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.