Commutators as Powers in Free Products of Groups
The ways in which a nontrivial commutator can be a proper power in a free product of groups are identified.
math.GR↗
arXiv subjects
Leo P. Comerford Jr.
Publications and source records attributed to Leo P. Comerford Jr..
Products of Commutators and Products of Squares in a Free Group
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.
math.GR↗