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Mathematics of the USSR-Sbornik, 1985, Volume 51, Issue 1, Pages 33–46
DOI: https://doi.org/10.1070/SM1985v051n01ABEH002845 (Mi sm1982) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Generalized group identities in linear groups

G. M. Tomanov
English version PDF (816 kB) Citations (13)
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DOI: https://doi.org/10.1070/SM1985v051n01ABEH002845
Abstract: The article is concerned with a study of generalized group identities in linear groups.
It also investigates the question of the existence of generalized group identities with coefficients in $G$, when $G$ is a symplectic or orthogonal group. In particular, concrete generalized identities are presented in these groups, and sufficient conditions are indicated under which a fixed group monomial does not define an identity in $G$.
Bibliography: 10 titles.
Received: 14.09.1982
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1984, Volume 123(165), Number 1, Pages 35–49
Bibliographic databases:
UDC: 512.743
MSC: Primary 20G15, 20F05, 14L35; Secondary 20E22
Language: English
Original paper language: Russian
Citation: G. M. Tomanov, “Generalized group identities in linear groups”, Mat. Sb. (N.S.), 123(165):1 (1984), 35–49; Math. USSR-Sb., 51:1 (1985), 33–46
Citation in format AMSBIB
\Bibitem{Tom84}
\by G.~M.~Tomanov
\paper Generalized group identities in linear groups
\jour Mat. Sb. (N.S.)
\yr 1984
\vol 123(165)
\issue 1
\pages 35--49
\mathnet{http://mi.mathnet.ru/sm1982}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=728928}
\zmath{https://zbmath.org/?q=an:0574.20032}
\transl
\jour Math. USSR-Sb.
\yr 1985
\vol 51
\issue 1
\pages 33--46
\crossref{https://doi.org/10.1070/SM1985v051n01ABEH002845}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:454
    Russian version PDF:140
    English version PDF:44
    References:81
     
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