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This article is cited in 5 scientific papers (total in 5 papers)
On closeness of carpets of Lie type over commutative rings
S. K. Kuklina, A. O. Likhacheva, Ya. N. Nuzhin
Siberian Federal University, Krasnoyarsk
Abstract:
For a wide class of commutative rings, the existence of non-closed irreducible carpets of Lie type associated with any root system is proved.
Keywords:
chevalley group over a commutative ring, carpet of additive subgroups, carpet subgroup.
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UDC:
512.5
Citation:
S. K. Kuklina, A. O. Likhacheva, Ya. N. Nuzhin, “On closeness of carpets of Lie type over commutative rings”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 3, 2015, 192–196
Citation in format AMSBIB
\Bibitem{KukLikNuz15}
\by S.~K.~Kuklina, A.~O.~Likhacheva, Ya.~N.~Nuzhin
\paper On closeness of carpets of Lie type over commutative rings
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2015
\vol 21
\issue 3
\pages 192--196
\mathnet{http://mi.mathnet.ru/timm1212}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3468103}
\elib{https://elibrary.ru/item.asp?id=24156718}
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http://mi.mathnet.ru/eng/timm1212 http://mi.mathnet.ru/eng/timm/v21/i3/p192
Citing articles on Google Scholar:
Russian citations,
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Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
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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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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. 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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