A. Yu. Luzgarev, A. K. Stavrova, “Elementary subgroup of an isotropic reductive group is perfect”, Algebra i Analiz, 23:5 (2011), 140–154; St. Petersburg Math. J., 23:5 (2012), 881

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Algebra i Analiz, 2011, Volume 23, Issue 5, Pages 140–154 (Mi aa1259)

This article is cited in 16 scientific papers (total in 17 papers)

Research Papers

Elementary subgroup of an isotropic reductive group is perfect

A. Yu. Luzgarev^a, A. K. Stavrova^b

^a St. Petersburg State University, Department of Mathematics and Mechanics, St. Petersburg, Russia
^b Universität Duisburg-Essen, Fakultät für Mathematik, Essen, Germany

Full-text PDF (232 kB) Citations (17)

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Received: 27.05.2010

English version:
St. Petersburg Mathematical Journal, 2012, Volume 23, Issue 5, Pages 881–890
DOI: https://doi.org/10.1090/S1061-0022-2012-01221-5

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: A. Yu. Luzgarev, A. K. Stavrova, “Elementary subgroup of an isotropic reductive group is perfect”, Algebra i Analiz, 23:5 (2011), 140–154; St. Petersburg Math. J., 23:5 (2012), 881–890

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/aa1259

https://www.mathnet.ru/eng/aa/v23/i5/p140

This publication is cited in the following 17 articles:

E. Yu. Voronetskii, “Lokalno izotropnye elementarnye gruppy”, Algebra i analiz, 36:2 (2024), 1–26
E. B. Plotkin, A. I. Generalov, N. S. Geldkhauzer, N. L. Gordeev, A. Yu. Luzgarev, V. V. Nesterov, I. A. Panin, V. A. Petrov, S. Yu. Pilyugin, A. V. Stepanov, A. K. Stavrova, V. G. Khalin, “O Nikolae Aleksandroviche Vavilove”, Voprosy teorii predstavlenii algebr i grupp. 40, Posvyaschaetsya pamyati Nikolaya Aleksandrovicha VAVILOVA, Zap. nauchn. sem. POMI, 531, POMI, SPb., 2024, 7–40
Boris Kunyavskiǐ, Eugene Plotkin, Nikolai Vavilov, “Bounded generation and commutator width of Chevalley groups: function case”, European Journal of Mathematics, 9:3 (2023)
Anastasia Stavrova, Alexei Stepanov, “Normal structure of isotropic reductive groups over rings”, Journal of Algebra, 2022
Stavrova A., “On the Congruence Kernel of Isotropic Groups Over Rings”, Trans. Am. Math. Soc., 373:7 (2020), 4585–4626
Hazrat R. Vavilov N. Zhang Z., “Multiple Commutator Formulas For Unitary Groups”, Isr. J. Math., 219:1 (2017), 287–330
J. Math. Sci. (N. Y.), 222:4 (2017), 466–515
Voelkel K. Wendt M., C. R. Math., 354:5 (2016), 453–458
J. Math. Sci. (N. Y.), 209:6 (2015), 922–934
J. Math. Sci. (N. Y.), 200:6 (2014), 742–768
J. Math. Sci. (N. Y.), 219:3 (2016), 355–369
Stavrova A., “Homotopy Invariance of Non-Stable $K_1$ -Functors”, J. K-Theory, 13:2 (2014), 199–248
Hazrat R. Vavilov N. Zhang Z., “Relative Commutator Calculus in Chevalley Groups”, J. Algebra, 385 (2013), 262–293
J. Math. Sci. (N. Y.), 179:6 (2011), 662–678
N. A. Vavilov, A. V. Smolensky, B. Sury, “Unitriangular factorisations of Chevalley groups”, J. Math. Sci. (N. Y.), 183:5 (2012), 584–599
N. A. Vavilov, A. V. Stepanov, “Linear groups over general rings. I. Generalities”, J. Math. Sci. (N. Y.), 188:5 (2013), 490–550
Hazrat R., Vavilov N., Zhang Z., “Relative unitary commutator calculus, and applications”, J. Algebra, 343:1 (2011), 107–137

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

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Full-text PDF :	104
References:	60
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