Powers of commutators |
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Affiliation: | Mathematisch Instituut, Universiteit Leiden, Postbus 9512, 2300 RA Leiden, the Netherlands |
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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. |
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Keywords: | Finite groups Commutators Group rings |
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