Quasiperiodic and mixed commutator factorizations in free products of groups
Quasiperiodic and mixed commutator factorizations in free products of groups
It is well known that a nontrivial commutator in a free group is never a proper power. We prove a theorem that generalizes this fact and has several worthwhile corollaries. For example, an equation [ x 1 , y 1 ] … [ x k , y k ] = …