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Fundam. Prikl. Mat., 2013, Volume 18, Issue 1, Pages 75–84 (Mi fpm1490)  

This article is cited in 11 scientific papers (total in 11 papers)

Subgroups of the Chevalley groups and Lie rings definable by a collection of additive subgroups of the initial ring

V. A. Koibaevab, Ya. N. Nuzhinc

a North-Ossetia State University, Vladikavkaz, Russia
b South Mathematical Institute of the Russian Academy of Sciences, Vladikavkaz, Russia
c Siberian Federal University, Krasnoyarsk, Russia

Abstract: The paper provides an overview of the authors' results on nets, carpets, elementary net subgroups, carpet subgroups, and carpet Lie rings. Some open questions are also formulated.

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English version:
Journal of Mathematical Sciences (New York), 2014, 201:4, 458–464

Bibliographic databases:

UDC: 512.5

Citation: V. A. Koibaev, Ya. N. Nuzhin, “Subgroups of the Chevalley groups and Lie rings definable by a collection of additive subgroups of the initial ring”, Fundam. Prikl. Mat., 18:1 (2013), 75–84; J. Math. Sci., 201:4 (2014), 458–464

Citation in format AMSBIB
\by V.~A.~Koibaev, Ya.~N.~Nuzhin
\paper Subgroups of the Chevalley groups and Lie rings definable by a~collection of additive subgroups of the initial ring
\jour Fundam. Prikl. Mat.
\yr 2013
\vol 18
\issue 1
\pages 75--84
\jour J. Math. Sci.
\yr 2014
\vol 201
\issue 4
\pages 458--464

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    This publication is cited in the following articles:
    1. S. K. Kuklina, A. O. Likhacheva, Ya. N. Nuzhin, “O zamknutosti kovrov lieva tipa nad kommutativnymi koltsami”, Tr. IMM UrO RAN, 21, no. 3, 2015, 192–196  mathnet  mathscinet  elib
    2. R. Yu. Dryaeva, V. A. Koibaev, “Elementarnaya set, assotsiirovannaya s elementarnoi gruppoi”, Vladikavk. matem. zhurn., 18:3 (2016), 31–34  mathnet
    3. N. A. Dzhusoeva, R. Yu. Dryaeva, “Tsiklicheskie elementarnye seti”, Vladikavk. matem. zhurn., 19:1 (2017), 26–29  mathnet
    4. R. Y. Dryaeva, V. A. Koibaev, Ya. N. Nuzhin, “Full and elementary nets over the quotient field of a principal ideal ring”, J. Math. Sci. (N. Y.), 234:2 (2018), 141–147  mathnet  crossref
    5. V. A. Koibaev, S. K. Kuklina, A. O. Likhacheva, Ya. N. Nuzhin, “Subgroups, of Chevalley Groups over a Locally Finite Field, Defined by a Family of Additive Subgroups”, Math. Notes, 102:6 (2017), 792–798  mathnet  crossref  crossref  isi  elib
    6. V. A. Koibaev, Ya. N. Nuzhin, “$k$-invariant nets over an algebraic extension of a field $k$”, Siberian Math. J., 58:1 (2017), 109–112  mathnet  crossref  crossref  isi  elib  elib
    7. Vladimir A. Koibaev, “On a question about generalized congruence subgroups”, Zhurn. SFU. Ser. Matem. i fiz., 11:1 (2018), 66–69  mathnet  crossref
    8. V. A. Koibaev, “On a question about generalized congruence subgroups. I”, J. Math. Sci. (N. Y.), 243:4 (2019), 573–576  mathnet  crossref
    9. S. K. Franchuk, “O neprivodimykh kovrakh additivnykh podgrupp tipa $G_2$”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 27 (2019), 80–86  mathnet  crossref
    10. S. Yu. Itarova, V. A. Koibaev, “Razlozhenie elementarnoi transvektsii v elementarnoi setevoi gruppe”, Vladikavk. matem. zhurn., 21:3 (2019), 24–30  mathnet  crossref
    11. S. K. Franchuk, “O neprivodimykh kovrakh additivnykh podgrupp tipa $G_2$ nad polyami kharakteristiki $p>0$”, Vladikavk. matem. zhurn., 22:1 (2020), 78–84  mathnet  crossref
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