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Matematicheskie Zametki, 2002, Volume 71, Issue 6, Pages 924–930
DOI: https://doi.org/10.4213/mzm396 (Mi mzm396) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Subnormal Structure of Two-Dimensional Linear Groups over Full Rings

S. Tazhetdinov

Kara-Kalpak State University
Full-text PDF (171 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm396
Abstract: A description of the subnormal subgroups of two-dimensional linear groups over certain (m,n)-full rings is given. Examples of (m,n)-full rings are semilocal rings and rings of dimension zero, in particular, von Neumann regular rings, under the assumption that every residue field of these rings contains more than m(n−1) elements.
Received: 27.07.2000
English version:
Mathematical Notes, 2002, Volume 71, Issue 6, Pages 844–850
DOI: https://doi.org/10.1023/A:1015881114742
Bibliographic databases:
UDC: 519.45
Language: Russian
Citation: S. Tazhetdinov, “Subnormal Structure of Two-Dimensional Linear Groups over Full Rings”, Mat. Zametki, 71:6 (2002), 924–930; Math. Notes, 71:6 (2002), 844–850
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm396
  • https://www.mathnet.ru/eng/mzm/v71/i6/p924
    • This publication is cited in the following 3 articles:
    1. N. A. Vavilov, A. V. Stepanov, “Linear groups over general rings. I. Generalities”, J. Math. Sci. (N. Y.), 188:5 (2013), 490–550  mathnet  crossref  mathscinet
    2. S. Tazhetdinov, “On subnormal subgroups of linear groups”, Siberian Math. J., 49:1 (2008), 175–179  mathnet  crossref  mathscinet  zmath  isi
    3. S. Tazhetdinov, “The structure of subnormal subgroups of symplectic groups over local rings”, Siberian Math. J., 47:3 (2006), 551–554  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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