Commutators cannot be proper powers in metric small-cancellation torsion-free groups

Anton A. Klyachko; Elizaveta Frenkel

arxiv: 1210.7908 · v3 · pith:QW2LJGPEnew · submitted 2012-10-30 · 🧮 math.GR

Commutators cannot be proper powers in metric small-cancellation torsion-free groups

Elizaveta Frenkel , Anton A. Klyachko This is my paper

classification 🧮 math.GR

keywords cannotlambdapropersmalltorsion-freecancellationcommutatorcommutators

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A nontrivial commutator cannot be a proper power in a torsion-free group satisfying C'(\lambda) small cancellation condition with sufficiently small \lambda.

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Commutators cannot be proper powers in metric small-cancellation torsion-free groups

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