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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 5, Pages 978–980
DOI: https://doi.org/10.17377/smzh.2016.57.503 (Mi smj2798) 		 
This article is cited in 12 scientific papers (total in 12 papers)

A sufficient condition for nilpotency of the commutator subgroup

R. Bastos, P. Shumyatsky

Department of Mathematics, University of Brasilia, Brasilia, Brazil
Full-text PDF (233 kB) Citations (12)
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DOI: https://doi.org/10.17377/smzh.2016.57.503
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.
Keywords: finite group, commutator.
Funding agency Grant number
National Council for Scientific and Technological Development (CNPq)
The authors were supported by the CNPq-Brazil.
Received: 09.09.2015
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 5, Pages 762–763
DOI: https://doi.org/10.1134/S0037446616050037
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: R. Bastos, P. Shumyatsky, “A sufficient condition for nilpotency of the commutator subgroup”, Sibirsk. Mat. Zh., 57:5 (2016), 978–980; Siberian Math. J., 57:5 (2016), 762–763
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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