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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 272, Pages 161–176 (Mi znsl1367)  
This article is cited in 16 scientific papers (total in 16 papers)

Two-variable identities in groups and Lie algebras

F. J. Grunewalda, B. È. Kunyavskiib, D. B. Nikolovac, E. B. Plotkinb

a Mathematisches Institut Heinrich-Heine-Universität Düsseldorf
b Bar-Ilan University, Department of Mathematics
c Institute of Mathematics and Informatics, Bulgarian Academy of Sciences
Full-text PDF (249 kB) Citations (16)
Abstract: We study two-variable Engel-like relations and identities characterizing finite dimensional solvable Lie algebras and, conjecturally, finite solvable groups, and introduce some invariants of finite groups associated to such relations.
Received: 11.10.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 116, Issue 1, Pages 2972–2981
DOI: https://doi.org/10.1023/A:1023450709743
Bibliographic databases:
UDC: 512.546.6+512.8.15
Language: English
Citation: F. J. Grunewald, B. È. Kunyavskii, D. B. Nikolova, E. B. Plotkin, “Two-variable identities in groups and Lie algebras”, Problems in the theory of representations of algebras and groups. Part 7, Zap. Nauchn. Sem. POMI, 272, POMI, St. Petersburg, 2000, 161–176; J. Math. Sci. (N. Y.), 116:1 (2003), 2972–2981
Citation in format AMSBIB
\Bibitem{GruKunNik00}
\by F.~J.~Grunewald, B.~\`E.~Kunyavskii, D.~B.~Nikolova, E.~B.~Plotkin
\paper Two-variable identities in groups and Lie algebras
\inbook Problems in the theory of representations of algebras and groups. Part~7
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 272
\pages 161--176
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1367}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1811797}
\zmath{https://zbmath.org/?q=an:1069.20012}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 116
\issue 1
\pages 2972--2981
\crossref{https://doi.org/10.1023/A:1023450709743}
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  • https://www.mathnet.ru/eng/znsl/v272/p161
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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