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- Leo P. Comerford, Charles C. Edmunds
- IJAC
- 1994

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.

The ways in which a nontrivial commutator can be a proper power in a free product of groups are identified. It is well known that in a free group, a nontrivial commutator cannot be a proper power. This seems to have been noted first by Schutzenberger [2]. It is, however, possible for a nontrivial commutator to be a proper power in a free product. Our aim in… (More)

- Charles C. Edmunds, Edmond W. H. Lee, Ken W. K. Lee
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- 2010

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