Email this article A sufficient condition for nilpotency of the commutator subgroup
- Authors: Bastos R.1, Shumyatsky P.1
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Affiliations:
- Department of Mathematics
- Issue: Vol 57, No 5 (2016)
- Pages: 762-763
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170671
- DOI: https://doi.org/10.1134/S0037446616050037
- ID: 170671
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Abstract
Let G be a finite group with the property that if a and b are commutators of coprime orders, then |ab| = |a||b|. We show that G′ is nilpotent.
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About the authors
R. Bastos
Department of Mathematics
Author for correspondence.
Email: bastos@mat.unb.br
Brazil, Brasilia
P. Shumyatsky
Department of Mathematics
Email: bastos@mat.unb.br
Brazil, Brasilia
