Products of Commutators and Products of Squares in a Free Group

Details Products of Commutators and Products of Squares in a Free Group Products of Commutators and Products of Squares in a Free Group

1993-10-15

arxiv.org/abs/math/9310206v1

Mathematics

Group Theory

AMS-LaTex, 11 pages, no figures

Scientific paper

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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