Powers of commutators

Operations Research Letters, vol. 51, pp. 17–20

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.

Authors 1

1. Hendrik W. Lenstra corresponding Aachen Mathematisch Instituut

   Leiden University

   Affiliation as printed

   Mathematisch Instituut, Universiteit Leiden, Postbus 9512, 2300 RA Leiden, the Netherlands