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Powers of commutators
Affiliation:Mathematisch Instituut, Universiteit Leiden, Postbus 9512, 2300 RA Leiden, the Netherlands
Abstract:Any element of a finite group that generates the same cyclic subgroup as some commutator, is itself a commutator. The paper presents a completely elementary proof of this fact, whereas previous proofs depend on character theory.
Keywords:Finite groups  Commutators  Group rings
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