This article is cited in 6 scientific papers (total in 6 papers)
Factorization of carpet subgroups of the Chevalley groups over commutative rings
Yakov N. Nuzhin
Institute of Basic Training, Siberian Federal University, Krasnoyarsk, Russia
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.
Chevalley groups, commutative ring, carpet of additive subgroups, factorization.
PDF file (163 kB)
Received in revised form: 25.06.2011
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
\paper Factorization of carpet subgroups of the Chevalley groups over commutative rings
\jour J. Sib. Fed. Univ. Math. Phys.
Citing articles on Google Scholar:
Related articles on Google Scholar:
This publication is cited in the following articles:
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
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
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
Ya. N. Nuzhin, “Levi decomposition for carpet subgroups of Chevalley groups over a field”, Algebra and Logic, 55:5 (2016), 367–375
S. K. Franchuk, “O neprivodimykh kovrakh additivnykh podgrupp tipa $G_2$”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 27 (2019), 80–86
|Number of views:|