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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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Journal of Mathematical Sciences (New York), 2014, 201:4, 458–464
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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
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\jour Fundam. Prikl. Mat.
\yr 2013
\vol 18
\issue 1
\pages 75--84
\mathnet{http://mi.mathnet.ru/fpm1490}
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\transl
\jour J. Math. Sci.
\yr 2014
\vol 201
\issue 4
\pages 458--464
\crossref{https://doi.org/10.1007/s10958-014-2006-9}
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http://mi.mathnet.ru/eng/fpm1490 http://mi.mathnet.ru/eng/fpm/v18/i1/p75
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This publication is cited in the following articles:
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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
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R. Yu. Dryaeva, V. A. Koibaev, “Elementarnaya set, assotsiirovannaya s elementarnoi gruppoi”, Vladikavk. matem. zhurn., 18:3 (2016), 31–34
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N. A. Dzhusoeva, R. Yu. Dryaeva, “Tsiklicheskie elementarnye seti”, Vladikavk. matem. zhurn., 19:1 (2017), 26–29
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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
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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
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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
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Vladimir A. Koibaev, “On a question about generalized congruence subgroups”, Zhurn. SFU. Ser. Matem. i fiz., 11:1 (2018), 66–69
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V. A. Koibaev, “On a question about generalized congruence subgroups. I”, J. Math. Sci. (N. Y.), 243:4 (2019), 573–576
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S. K. Franchuk, “O neprivodimykh kovrakh additivnykh podgrupp tipa $G_2$”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 27 (2019), 80–86
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S. Yu. Itarova, V. A. Koibaev, “Razlozhenie elementarnoi transvektsii v elementarnoi setevoi gruppe”, Vladikavk. matem. zhurn., 21:3 (2019), 24–30
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S. K. Franchuk, “O neprivodimykh kovrakh additivnykh podgrupp tipa $G_2$ nad polyami kharakteristiki $p>0$”, Vladikavk. matem. zhurn., 22:1 (2020), 78–84
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