Yakov N. Nuzhin, “Factorization of carpet subgroups of the Chevalley groups over commutative rings”, J. Sib. Fed. Univ. Math. Phys., 4:4 (2011), 527

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Journal of Siberian Federal University. Mathematics & Physics, 2011, Volume 4, Issue 4, Pages 527–535 (Mi jsfu211)

This article is cited in 9 scientific papers (total in 9 papers)

Factorization of carpet subgroups of the Chevalley groups over commutative rings

Yakov N. Nuzhin

Institute of Basic Training, Siberian Federal University, Krasnoyarsk, Russia

Full-text PDF (163 kB) Citations (9)

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Abstract: A concept of derivative carpet is introduced and it is proved that a carpet subgroup of the Chevalley group over commutative ring is a product of the derivative carpet subgroup and carpet subgroups of rank 1.

Keywords: Chevalley groups, commutative ring, carpet of additive subgroups, factorization.

Received: 18.05.2011
Received in revised form: 25.06.2011
Accepted: 10.07.2011

Document Type: Article

UDC: 512.544.2

Language: Russian

Citation: Yakov N. Nuzhin, “Factorization of carpet subgroups of the Chevalley groups over commutative rings”, J. Sib. Fed. Univ. Math. Phys., 4:4 (2011), 527–535

Citation in format AMSBIB

\Bibitem{Nuz11}

\by Yakov~N.~Nuzhin

\paper Factorization of carpet subgroups of the Chevalley groups over commutative rings

\jour J. Sib. Fed. Univ. Math. Phys.

\yr 2011

\vol 4

\issue 4

\pages 527--535

\mathnet{http://mi.mathnet.ru/jsfu211}

Linking options:

https://www.mathnet.ru/eng/jsfu211

https://www.mathnet.ru/eng/jsfu/v4/i4/p527

This publication is cited in the following 9 articles:

Elizaveta N. Troyanskaya, “To the question of the closure of the carpet”, Zhurn. SFU. Ser. Matem. i fiz., 17:5 (2024), 684–688
Yakov N. Nuzhin, “On the closedness of carpets of additive subgroups associated with a Chevalley group over a commutative ring”, Zhurn. SFU. Ser. Matem. i fiz., 16:6 (2023), 732–737
S. K. Franchuk, “O neprivodimykh kovrakh additivnykh podgrupp tipa $G_2$ nad polyami kharakteristiki $p>0$”, Vladikavk. matem. zhurn., 22:1 (2020), 78–84
S. K. Franchuk, “O neprivodimykh kovrakh additivnykh podgrupp tipa $G_2$”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 27 (2019), 80–86
Ya. N. Nuzhin, “Levi decomposition for carpet subgroups of Chevalley groups over a field”, Algebra and Logic, 55:5 (2016), 367–375
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
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”, J. Math. Sci., 201:4 (2014), 458–464
Vladimir A. Koibaev, “Razlozhenie transvektsii v elementarnoi gruppe”, Zhurn. SFU. Ser. Matem. i fiz., 5:3 (2012), 388–392
Ya. N. Nuzhin, “Lie rings defined by the root system and family of additive subgroups of the main ring”, Proc. Steklov Inst. Math. (Suppl.), 283, suppl. 1 (2013), 119–125

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Журнал Сибирского федерального университета. Серия "Математика и физика"

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