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Sbornik: Mathematics, 2009, Volume 200, Issue 5, Pages 661–664
DOI: https://doi.org/10.1070/SM2009v200n05ABEH004013 (Mi sm6380) 		 
This article is cited in 14 scientific papers (total in 14 papers)

A short proof of the Khukhro-Makarenko theorem on large characteristic subgroups with laws

A. A. Klyachko, Yu. B. Mel'nikova

Faculty of Mechanics and Mathematics, M. V. Lomonosov Moscow State University
English version PDF (172 kB) Citations (14) Russian version article
References:
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DOI: https://doi.org/10.1070/SM2009v200n05ABEH004013
Abstract: We give a short proof and a somewhat stronger version of the Khukhro-Makarenko theorem that each group which virtually satisfies an outer commutator identity contains a finite-index characteristic subgroup satisfying this identity. An estimate for the index of this characteristic subgroup is obtained.
Bibliography: 3 titles.
Keywords: characteristic subgroups, outer commutator identities.
Received: 12.06.2008
Bibliographic databases:
UDC: 512.544.44+512.543.22+512.544.33
MSC: 20E36, 20F12, 20F16, 20F18, 20F19, 20E10
Language: English
Original paper language: Russian
Citation: A. A. Klyachko, Yu. B. Mel'nikova, “A short proof of the Khukhro-Makarenko theorem on large characteristic subgroups with laws”, Sb. Math., 200:5 (2009), 661–664
Citation in format AMSBIB
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\by A.~A.~Klyachko, Yu.~B.~Mel'nikova
\paper A short proof of the Khukhro-Makarenko theorem on large characteristic subgroups with laws
\jour Sb. Math.
\yr 2009
\vol 200
\issue 5
\pages 661--664
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  • https://www.mathnet.ru/eng/sm/v200/i5/p33
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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