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Zap. Nauchn. Sem. LOMI, 1979, Volume 94, Pages 40–49 (Mi znsl1803)  

This article is cited in 3 scientific papers (total in 3 papers)

Net subgroups of Chevalley groups

N. A. Vavilov, E. B. Plotkin


Abstract: We introduce and study net subgroups of Chevalley groups of normal and certain twisted types. Another subgroup of Chevalley groups related to a net was discussed in Ref. Zh. Mat. 1976; 10A151; 1977, 10A301; 1978, 6A476.

Full text: PDF file (992 kB)

English version:
Journal of Soviet Mathematics, 1982, 19:1, 1000–1006

Bibliographic databases:

UDC: 513.6

Citation: N. A. Vavilov, E. B. Plotkin, “Net subgroups of Chevalley groups”, Rings and modules. Part 2, Zap. Nauchn. Sem. LOMI, 94, "Nauka", Leningrad. Otdel., Leningrad, 1979, 40–49; J. Soviet Math., 19:1 (1982), 1000–1006

Citation in format AMSBIB
\Bibitem{VavPlo79}
\by N.~A.~Vavilov, E.~B.~Plotkin
\paper Net subgroups of Chevalley groups
\inbook Rings and modules. Part~2
\serial Zap. Nauchn. Sem. LOMI
\yr 1979
\vol 94
\pages 40--49
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1803}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=571514}
\zmath{https://zbmath.org/?q=an:0485.20037|0445.20026}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 19
\issue 1
\pages 1000--1006
\crossref{https://doi.org/10.1007/BF01476112}


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    Citing articles on Google Scholar: Russian citations, English citations
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    Cycle of papers

    This publication is cited in the following articles:
    1. N. A. Vavilov, “Kak uvidet znaki strukturnykh konstant?”, Algebra i analiz, 19:4 (2007), 34–68  mathnet  mathscinet  zmath; N. A. Vavilov, “Can one see the signs of structure constants?”, St. Petersburg Math. J., 19:4 (2008), 519–543  crossref  isi
    2. N. A. Vavilov, S. I. Nikolenko, “$\mathrm A_2$-dokazatelstvo strukturnykh teorem dlya gruppy Shevalle tipa $\mathrm F_4$”, Algebra i analiz, 20:4 (2008), 27–63  mathnet  mathscinet  zmath  elib; N. A. Vavilov, S. I. Nikolenko, “$\mathrm A_2$-proof of structure theorems for Chevalley groups of type $\mathrm F_4$”, St. Petersburg Math. J., 20:4 (2009), 527–551  crossref  isi
    3. K. O. Batalkin, N. A. Vavilov, “Parabolicheskie podgruppy $\mathrm{SO}_{2l}$ nad dedekindovym koltsom arifmeticheskogo tipa”, Voprosy teorii predstavlenii algebr i grupp. 23, Zap. nauchn. sem. POMI, 400, POMI, SPb., 2012, 50–69  mathnet  mathscinet; K. O. Batalkin, N. A. Vavilov, “Parabolic subgroups of $\mathrm{SO}_{2l}$ over a Dedekind ring of arithmetic type”, J. Math. Sci. (N. Y.), 192:2 (2013), 154–163  crossref
  • Записки научных семинаров ПОМИ
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