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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2011, Volume 8, Pages 1–3
(Mi semr295)
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This article is cited in 3 scientific papers (total in 3 papers)
Research papers
On $2$-groups, all of whose finite subgroups are of nilpotency class $2$
D. V. Lytkina Siberian State University of Telecommunications and Informatics Sciences, Novosibirsk, Russia
Abstract:
We prove that if all finite subgroups of a $2$-group $G$ are of nilpotency class $2$ then $G$ is of nilpotency class $2$.
Keywords:
$p$-group, nilpotent group.
Received December 5, 2010, published January 15, 2011
Citation:
D. V. Lytkina, “On $2$-groups, all of whose finite subgroups are of nilpotency class $2$”, Sib. Èlektron. Mat. Izv., 8 (2011), 1–3
Linking options:
https://www.mathnet.ru/eng/semr295 https://www.mathnet.ru/eng/semr/v8/p1
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