%0 Journal Article %T Commutators cannot be proper powers in metric small-cancellation torsion-free groups %A Elizaveta Frenkel %A Anton A. Klyachko %J Mathematics %D 2012 %I arXiv %X A nontrivial commutator cannot be a proper power in a torsion-free group satisfying C'(\lambda) small cancellation condition with sufficiently small \lambda. %U http://arxiv.org/abs/1210.7908v3