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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The authors were supported by the CNPq-Brazil.
Brasilia. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 57, No. 5, pp. 978–980, September–October, 2016; DOI: 10.17377/smzh.2016.57.503.
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Bastos, R., Shumyatsky, P. A sufficient condition for nilpotency of the commutator subgroup. Sib Math J 57, 762–763 (2016). https://doi.org/10.1134/S0037446616050037
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DOI: https://doi.org/10.1134/S0037446616050037