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JOURNALS
// Sibirskii Matematicheskii Zhurnal
// Archive
Sibirsk. Mat. Zh.,
2016
Volume 57,
Number 5,
Pages
978–980
(Mi smj2798)
This article is cited in
12
papers
A sufficient condition for nilpotency of the commutator subgroup
R. Bastos
,
P. Shumyatsky
Department of Mathematics, University of Brasilia, Brasilia, Brazil
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.
UDC:
512.54
Received:
09.09.2015
DOI:
10.17377/smzh.2016.57.503
Fulltext:
PDF file (233 kB)
References
Cited by
English version:
Siberian Mathematical Journal, 2016,
57
:5,
762–763
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2024