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Matematicheskie Zametki, 1971, Volume 9, Issue 1, Pages 41–51 (Mi mzm9640)  
Class close to the class of $n$-abelian groups

V. M. Kotlov

T. G. Shevchenko Kiev State University
Full-text PDF (1248 kB)
Abstract: Properties of classes of groups defined by the identity $(xyx)^n=x^ny^nx^n$ are investigated. For even $n$ an analog of Baer's factorization theorem is proved for periodic $n$-abelian groups.
Received: 19.11.1969
English version:
Mathematical Notes, 1971, Volume 9, Issue 1, Pages 24–29
DOI: https://doi.org/10.1007/BF01405046
Bibliographic databases:
Document Type: Article
UDC: 512.4
Language: Russian
Citation: V. M. Kotlov, “Class close to the class of $n$-abelian groups”, Mat. Zametki, 9:1 (1971), 41–51; Math. Notes, 9:1 (1971), 24–29
Citation in format AMSBIB
\Bibitem{Kot71}
\by V.~M.~Kotlov
\paper Class close to the class of $n$-abelian groups
\jour Mat. Zametki
\yr 1971
\vol 9
\issue 1
\pages 41--51
\mathnet{http://mi.mathnet.ru/mzm9640}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=291258}
\zmath{https://zbmath.org/?q=an:0227.20013}
\transl
\jour Math. Notes
\yr 1971
\vol 9
\issue 1
\pages 24--29
\crossref{https://doi.org/10.1007/BF01405046}
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