Edit Profile (opens in new tab) Vavilov, Nikolaĭ Aleksandrovich Co-Author Distance Author ID: vavilov.nikolai-a Published as: Vavilov, N. A.; Vavilov, Nikolai; Vavilov, N.; Vavilov, Nikolai A.; Vavilov, Nikolaĭ Aleksandrovich; Vavilov, Nikolaĭ A. more...less External Links: MGP · Math-Net.Ru Documents Indexed: 201 Publications since 1976, including 5 Additional arXiv Preprints 26 Contributions as Editor Biographic References: 2 Publications Co-Authors: 82 Co-Authors with 136 Joint Publications 2,012 Co-Co-Authors all top 5 Co-Authors 87 single-authored 29 Generalov, Aleksandr Ivanovich 29 Lur’e, Boris Beniaminovich 16 Borevich, Zenon Ivanovich 16 Zhang, Zuhong 13 Stepanov, Alexeĭ Vladimirovich 12 Hazrat, Roozbeh 11 Plotkin, Eugene 6 Luzgarev, A. Yu. 6 Panin, Ivan A. 4 Bak, Anthony 4 Dybkova, E. V. 4 Semenov, Alexey A. 4 Sinchuk, Sergeĭ Sergeevich 3 Gordeev, Nikolai L. 3 Kazakevich, V. G. 3 Kunyavskiĭ, Boris Èmmanuilovich 3 Stavrova, Anastasia K. 2 Anan’evskii, A. S. 2 Bondarko, Mikhail Vladimirovich 2 Di Martino, Lino 2 Gavrilovich, Mikhaĭl R. 2 Khamdan, I. 2 Kolotilina, Lily Yu. 2 Leonov, Gennadiĭ Alekseevich 2 Merkur’ev, Aleksandr Sergeevich 2 Narkiewicz, Władysław 2 Nesterov, Vladimir Viktorovich 2 Nikolenko, Sergey I. 2 Plotkin, Boris 2 Smolensky, A. V. 2 Sury, Balasubramanian 2 Suslin, Andreĭ Aleksandrovich 2 Vostokov, Sergeĭ Vladimirovich 2 Vsemirnov, Maxim 2 Yakovlev, Anatoliĭ Vladimirovich 2 Zhukov, Igor’ Borisovich 1 Aleksandrov, A. V. 1 Bakulin, S. V. 1 Baranov, Alexander A. 1 Batalkin, K. O. 1 Benois, D. G. 1 De Concini, Corrado 1 Fesenko, Ivan Borisovich 1 Guralnick, Robert Michael 1 Harebov, Alan 1 Ishkanov, V. V. 1 Kharchev, N. P. 1 Kleshchev, Alexander S. 1 Kondrat’ev, Anatoliĭ Semenovich 1 Kovach, E. I. 1 Kusraev, Anatoliĭ Georgievich 1 Lavrenov, Andrei V. 1 Makhnëv, Aleksandr Alekseevich 1 Matiyasevich, Yuriĭ Vladimirovich 1 Mazurov, Viktor Danilovich 1 Migrin, V. V. 1 Mitrofanov, M. Yu. 1 Mysovskikh, V. I. 1 Nuzhin, Yakov Nifant’evich 1 Pachev, Urusbi Mukhamedovich 1 Panov, Aleksandr Nikolaevich 1 Parshin, Alekseĭ Nikolaevich 1 Perelman, E. Ya. 1 Pevzner, Igor’ M. 1 Platonov, Vladimir Petrovich 1 Popov, Vladimir Leonidovich 1 Premet, Alexander A. 1 Röhrle, Gerhard 1 Romanovskii, N. S. 1 Seitz, Gary M. 1 Semenov, Andrei V. 1 Shchegolev, A. V. 1 Skopin, A. I. 1 Smirnov, Aleksandr Leonidovich 1 Testerman, Donna Marie 1 Teterin, Yu. G. 1 Tiep Pham Huu 1 van Oystaeyen, Freddy 1 Vinberg, Èrnest Borisovich 1 Zalesski, Alexandre Efimovich 1 Zel’manov, Efim Isaakovich 1 Zhurtov, Archil Khazeshevich all top 5 Serials 50 Journal of Mathematical Sciences (New York) 21 Journal of Soviet Mathematics 18 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 16 St. Petersburg Mathematical Journal 15 Zapiski Nauchnykh Seminarov POMI 12 Vestnik Leningrad University. Mathematics 7 Vestnik St. Petersburg University. Mathematics 5 Soviet Mathematics. Doklady 5 Doklady Mathematics 4 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 4 Soviet Mathematics 3 Communications in Algebra 3 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 3 Russian Mathematical Surveys 3 Journal of Algebra 3 Proceedings of the Steklov Institute of Mathematics 3 Translations. Series 2. American Mathematical Society 2 Israel Journal of Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of Pure and Applied Algebra 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Siberian Mathematical Journal 2 \(K\)-Theory 2 International Journal of Algebra and Computation 2 Russian Academy of Sciences. Doklady. Mathematics 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 2 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 2 Journal of \(K\)-Theory 2 European Journal of Mathematics 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Rendiconti del Seminario Matematico della Università di Padova 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Note di Matematica 1 Acta Applicandae Mathematicae 1 Linear Algebra and its Applications 1 Bulletin de l’Académie Polonaise des Sciences. Série des Sciences Mathématiques 1 Algebra Colloquium 1 Trudy Sankt-Peterburgskogo Matematicheskogo Obshchestva 1 Transformation Groups 1 Voprosy Algebry 1 Trudy Instituta Matematiki 1 Vestnik Samarskogo Gosudarstvennogo Universitetea. Estestvennonauchnaya Seriya 1 Chebyshevskiĭ Sbornik 1 Lecture Notes in Pure and Applied Mathematics 1 International Journal of Group Theory 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 209 Group theory and generalizations (20-XX) 30 Associative rings and algebras (16-XX) 27 General and overarching topics; collections (00-XX) 16 \(K\)-theory (19-XX) 13 Nonassociative rings and algebras (17-XX) 12 History and biography (01-XX) 9 Number theory (11-XX) 8 Algebraic geometry (14-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 4 Commutative algebra (13-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Category theory; homological algebra (18-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 167 Publications have been cited 1,747 times in 370 Documents Cited by ▼ Year ▼ Decomposition of transvections: A theme with variations. Zbl 0944.20031 Stepanov, Alexei; Vavilov, Nikolai 75 2000 Chevalley groups over commutative rings. I: Elementary calculations. Zbl 0861.20044 Vavilov, Nikolai; Plotkin, Eugene 71 1996 Structure of hyperbolic unitary groups. I: Elementary subgroups. Zbl 0963.20024 Bak, Anthony; Vavilov, Nikolai 67 2000 \(K_{1}\) of Chevalley groups are nilpotent. Zbl 1012.19001 Hazrat, Roozbeh; Vavilov, Nikolai 66 2003 Structure of Chevalley groups over commutative rings. Zbl 0799.20042 Vavilov, Nikolai A. 65 1991 Visual basic representations: An atlas. Zbl 0957.17006 Plotkin, Eugene; Semenov, Andrei; Vavilov, Nikolai 48 1998 A third look at weight diagrams. Zbl 1016.20029 Vavilov, Nikolai 46 2000 Bak’s work on the \(K\)-theory of rings. Zbl 1183.19001 Hazrat, Roozbeh; Vavilov, Nikolai 46 2009 Location of subgroups in the general linear group over a commutative ring. Zbl 0653.20048 Borevich, Z. I.; Vavilov, N. A. 37 1985 Normality for elementary subgroup functors. Zbl 0857.20028 Bak, Anthony; Vavilov, Nikolai 36 1995 Localization-completion strikes again: relative \(K_1\) is nilpotent by Abelian. Zbl 1167.19002 Bak, A.; Hazrat, R.; Vavilov, N. 33 2009 Intermediate subgroups in Chevalley groups. Zbl 0879.20020 Vavilov, Nikolai 30 1995 Overgroups of semisimple groups. Zbl 1322.20040 Vavilov, N. A.; Stepanov, A. V. 29 2008 Commutator width in Chevalley groups. Zbl 1294.20059 Hazrat, Roozbeh; Stepanov, Alexei; Vavilov, Nikolai; Zhang, Zuhong 28 2013 Structure of Chevalley groups: the proof from The Book. Zbl 1162.20032 Vavilov, N. A.; Gavrilovich, M. R.; Nikolenko, S. I. 27 2006 Chevalley group of type \(E_6\) in the 27-dimensional representation. Zbl 1124.20032 Vavilov, N. A.; Luzgarev, A. Yu.; Pevzner, I. M. 25 2006 Standard commutator formula. Zbl 1147.20042 Vavilov, N. A.; Stepanov, A. V. 25 2008 An \(A_3\)-proof of structure theorems for Chevalley groups of types \(E_6\) and \(E_7\). Zbl 1172.20034 Vavilov, Nikolai 25 2007 Computations in Chevalley groups over commutative rings. Zbl 0795.20028 Vavilov, N. A.; Plotkin, E. B.; Stepanov, A. V. 24 1989 The yoga of commutators. Zbl 1318.20049 Hazrat, R.; Stepanov, A. V.; Vavilov, N. A.; Zhang, Z. 24 2011 On Grothendieck-Serre’s conjecture concerning principal \(G\)-bundles over reductive group schemes: I. Zbl 1317.14102 Panin, I.; Stavrova, A.; Vavilov, N. 24 2015 Do it yourself: the structure constants for Lie algebras of types \(E_l\). Zbl 1062.17004 Vavilov, N. A. 23 2001 Overgroups of elementary symplectic groups. Zbl 1075.20017 Vavilov, N. A.; Petrov, V. A. 23 2004 On the length of commutators in Chevalley groups. Zbl 1262.20054 Stepanov, Alexei; Vavilov, Nikolai 22 2011 \((2,3)\)-generation of \(SL(n,q)\). I: Cases \(n=5,6,7\). Zbl 0805.20038 Di Martino, Lino; Vavilov, Nikolai 21 1994 Relative unitary commutator calculus, and applications. Zbl 1245.20064 Hazrat, Roozbeh; Vavilov, Nikolai; Zhang, Zuhong 18 2011 Standard commutator formula, revisited. Zbl 1254.20038 Vavilov, N. A.; Stepanov, A. V. 18 2010 On the overgroups of \(\text{EO}(2l,R)\). Zbl 1069.20040 Vavilov, N. A.; Petrov, V. A. 18 2000 An \(A_2\)-proof of structure theorems for Chevalley groups of types \(E_6\) and \(E_7\). Zbl 1105.20039 Vavilov, N. A.; Gavrilovich, M. R. 18 2005 Relative commutator calculus in Chevalley groups. Zbl 1292.20053 Hazrat, Roozbeh; Vavilov, Nikolai; Zhang, Zuhong 17 2013 Subgroups of the general linear group over a semilocal ring which contain the group of diagonal matrices. Zbl 0444.20039 Borevich, Z. I.; Vavilov, N. A. 17 1978 \((2,3)\)-generation of \(\text{SL}(n,q)\). II: Cases \(n\geq 8\). Zbl 0847.20043 Di Martino, Lino; Vavilov, Nikolai 16 1996 Relative subgroups in Chevalley groups. Zbl 1204.20066 Hazrat, R.; Petrov, V.; Vavilov, N. 16 2010 Normalizer of the Chevalley group of type \(E_6\). Zbl 1206.20054 Vavilov, N. A.; Luzgarev, A. Yu. 15 2008 On the parabolic subgroups of Chevalley groups over a semilocal ring. Zbl 0448.20046 Vavilov, N. A. 14 1978 On subgroups of splittable classical groups. Zbl 0723.20028 Vavilov, N. A. 13 1990 Overgroups of \(\text{EO}(n,R)\). Zbl 1159.20024 Vavilov, N. A.; Petrov, V. A. 13 2008 Subgroups of split orthogonal groups over a ring. Zbl 0694.20032 Vavilov, N. A. 12 1988 A note on the subnormal structure of general linear groups. Zbl 0701.20025 Vavilov, N. A. 12 1990 Weight elements of Chevalley groups. Zbl 1206.20051 Vavilov, N. A. 12 2009 Can one see the signs of structure constants? Zbl 1203.20041 Vavilov, N. A. 12 2008 Subgroups of split orthogonal groups over a commutative ring. Zbl 1080.20046 Vavilov, N. A. 11 2001 \(A_2\)-proof of structure theorems for Chevalley groups of type \(F_4\). Zbl 1206.20055 Vavilov, N. A.; Nikolenko, S. I. 11 2009 Generation of relative commutator subgroups in Chevalley groups. Zbl 1348.20055 Hazrat, R.; Vavilov, N.; Zhang, Z. 11 2016 Subgroups of the general symplectic group containing the group of diagonal matrices. Zbl 0468.20041 Vavilov, N. A.; Dybkova, E. V. 11 1980 Parabolic subgroups of Chevalley groups over a semilocal ring. Zbl 0612.20028 Vavilov, N. A. 10 1987 Geometry of long root subgroups in Chevalley groups. Zbl 0662.20038 Vavilov, N. A. 10 1988 On the lattice of subgroups of Chevalley groups containing a split maximal torus. Zbl 0857.20023 Harebov, Alan; Vavilov, Nikolai 10 1996 The yoga of commutators: further applications. Zbl 1316.20055 Hazrat, R.; Stepanov, A. V.; Vavilov, N. A.; Zhang, Z. 10 2014 On subgroups of split classical groups. Zbl 0741.20034 Vavilov, N. A. 10 1990 The structure of split classical groups over a commutative ring. Zbl 0688.20027 Vavilov, N. A. 9 1988 Multiple commutator formulas for unitary groups. Zbl 1403.20049 Hazrat, R.; Vavilov, Nikolai; Zhang, Z. 9 2017 Numerology of quadratic equations. Zbl 1206.20050 Vavilov, N. A. 9 2009 Linear groups over general rings. I: Generalities. Zbl 1278.20066 Vavilov, N. A.; Stepanov, A. V. 9 2013 Gauss decomposition for Chevalley groups, revisited. Zbl 1261.20050 Smolensky, A. V.; Sury, Balasubramanian; Vavilov, Nikolai A. 9 2012 More variations on the decomposition of transvections. Zbl 1215.20048 Vavilov, N. A.; Kazakevich, V. G. 9 2010 Unitriangular factorizations of Chevalley groups. Zbl 1261.20051 Vavilov, N. A.; Smolensky, A. V.; Sury, B. 9 2012 Overgroups of subsystem subgroups in exceptional groups: levels. Zbl 1301.20043 Vavilov, N. A.; Shchegolev, A. V. 9 2013 Chevalley groups of type \(E_7\) in the 56-dimensional representation. Zbl 1306.20050 Vavilov, N. A.; Luzgarev, A. Yu. 9 2012 Calculations in exceptional groups over rings. Zbl 1288.20063 Luzgarev, A.; Stepanov, A.; Vavilov, N. 9 2010 The commutators of classical groups. Zbl 1393.20023 Hazrat, R.; Vavilov, Nikolai; Zhang, Z. 9 2017 Weight elements of Chevalley groups. Zbl 0727.20034 Vavilov, N. A. 8 1988 On subgroups of split orthogonal groups in even dimensions. Zbl 0476.20030 Vavilov, N. A. 8 1981 Parabolic subgroups of Chevalley groups over a commutative ring. Zbl 0513.20029 Vavilov, N. A. 8 1982 Basic reductions in the description of normal subgroups. Zbl 1312.20043 Vavilov, N. A.; Stavrova, A. K. 8 2008 Normalizer of the Chevalley group of type \(\mathrm{E}_7\). Zbl 1361.20034 Vavilov, N. A.; Luzgarev, A. Yu. 8 2016 Generation of relative commutator subgroups in Chevalley groups. II. Zbl 1481.20182 Vavilov, Nikolai; Zhang, Zuhong 7 2020 Net subgroups of Chevalley groups. Zbl 0485.20037 Vavilov, N. A.; Plotkin, E. B. 7 1982 The distribution of subgroups containing a group of block diagonal matrices in the general linear group over a ring. Zbl 0521.20033 Borevich, Z. I.; Vavilov, N. A. 7 1982 Subgroups of the general symplectic group containing the group of diagonal matrices. Zbl 0529.20036 Vavilov, N. A.; Dybkova, E. V. 7 1984 Linear groups generated by one-parameter groups of one-dimensional transformations. Zbl 0679.20045 Vavilov, N. A. 7 1989 Bruhat decomposition for long root tori in Chevalley groups. Zbl 0746.20024 Vavilov, N. A.; Semenov, A. A. 7 1989 Polyvector representations of \(\text{GL}_n\). Zbl 1125.20031 Vavilov, N. A.; Perelman, E. Ya. 7 2006 Parabolic factorizations of split classical groups. Zbl 1283.20057 Vavilov, N. A.; Sinchuk, S. S. 7 2012 On the description of overgroups of \(E(m,R)\otimes E(n,R)\). Zbl 1183.20056 Ananievsky, A. S.; Vavilov, N. A.; Sinchuk, S. S. 7 2009 Net subgroups of Chevalley groups. Zbl 0445.20026 Vavilov, N. A.; Plotkin, E. B. 7 1979 On the parabolic congruence subgroups of linear groups. Zbl 0364.20057 Vavilov, N. A. 7 1976 Net subgroups of Chevalley groups. II: The Gauss decomposition. Zbl 0499.20033 Vavilov, N. A.; Plotkin, E. B. 6 1982 Semisimple root elements and triples of unipotent root subgroups in Chevalley groups. Zbl 0711.20027 Vavilov, N. A. 6 1989 Commutators of relative and unrelative elementary groups, revisited. Zbl 1472.20112 Vavilov, N.; Zhang, Z. 6 2020 Some more exceptional numerology. Zbl 1215.20043 Vavilov, N. A. 6 2010 Dennis-Vaserstein type decompositions. Zbl 1215.20049 Vavilov, N. A.; Sinchuk, S. S. 6 2010 Subgroups of symplectic groups that contain a subsystem subgroup. Zbl 1312.20046 Vavilov, N. A. 6 2008 On parabolic subgroups of Chevalley groups of twisted type over a semi- local ring. Zbl 0445.20027 Vavilov, N. A. 6 1979 On subgroups of the general linear group over a semi-local ring containing the group of diagonal matrices. Zbl 0461.20037 Vavilov, N. A. 6 1981 Yet another variation on the theme of decomposition of transvections. Zbl 1175.20043 Vavilov, N. A.; Kazakevich, V. G. 6 2008 Subgroups of the general linear group over a semilocal ring, containing the group of diagonal matrices. Zbl 0453.20040 Borevich, Z. I.; Vavilov, N. A. 5 1980 Mutual arrangement of long and short root subgroups in a Chevalley group. Zbl 0673.20018 Vavilov, N. A. 5 1989 \(A_3\)-proof of structure theorems for Chevalley groups of types \(E_6\) and \(E_7\). II: Main lemma. Zbl 1278.20065 Vavilov, N. A. 5 2012 Overgroups of \(E(m,R)\otimes E(n,R)\). I: Levels and normalizers. Zbl 1278.20069 Anan’evskiĭ, A. S.; Vavilov, N. A.; Sinchuk, S. S. 5 2012 Long root tori in Chevalley groups. Zbl 1304.20062 Vavilov, N. A.; Semenov, A. A. 5 2013 Geometry of microweight tori. Zbl 1324.20026 Vavilov, N. A.; Nesterov, V. V. 5 2008 Description of subgroups of the full linear group over a semilocal ring that contain the group of diagonal matrices. Zbl 0462.20042 Vavilov, N. A. 5 1981 Normal structure of the full linear group over a semilocal ring. Zbl 0485.20045 Vavilov, N. A.; Kolotilina, L. Yu. 5 1982 On the subgroups of the full linear group over a commutative ring. Zbl 0521.20031 Borevich, Z. I.; Vavilov, N. A. 5 1982 Computers as a novel mathematical reality. I: A personal account. Zbl 1519.01027 Vavilov, N. A. 5 2023 Parabolic subgroups of the general linear group over a Dedekind domain of arithmetic type. Zbl 0416.20046 Vavilov, N. A. 5 1977 The intersection of two Bruhat cells. Zbl 1069.20036 Vavilov, N. A.; Mitrofanov, M. Yu. 5 2001 On subgroups of the general linear group over a Dedekind ring of arithmetic type. Zbl 0651.20049 Vavilov, N. A. 4 1987 Parabolic subgroups of Chevalley groups over a commutative ring. Zbl 0539.20024 Vavilov, N. A. 4 1984 Computers as a novel mathematical reality. I: A personal account. Zbl 1519.01027 Vavilov, N. A. 5 2023 Bounded generation and commutator width of Chevalley groups: function case. Zbl 1522.20207 Kunyavskiĭ, Boris; Plotkin, Eugene; Vavilov, Nikolai 4 2023 Commutators of elementary subgroups: curiouser and curiouser. Zbl 1522.20212 Vavilov, N.; Zhang, Z. 1 2023 Computers as a novel mathematical reality. III: Mersenne numbers and sums of divisors. Zbl 1532.11005 Vavilov, N. A. 1 2023 Computers as a novel mathematical reality. IV: The Goldbach problem. Zbl 07786636 Vavilov, N. A. 1 2023 Toward the reverse decomposition of unipotents. II: The relative case. Zbl 1498.20126 Vavilov, N. 1 2021 Generation of relative commutator subgroups in Chevalley groups. II. Zbl 1481.20182 Vavilov, Nikolai; Zhang, Zuhong 7 2020 Commutators of relative and unrelative elementary groups, revisited. Zbl 1472.20112 Vavilov, N.; Zhang, Z. 6 2020 Multiple commutators of elementary subgroups: end of the line. Zbl 1451.19004 Vavilov, Nikolai; Zhang, Zuhong 3 2020 Commutators of congruence subgroups in the arithmetic case. Zbl 1443.13016 Vavilov, N. 2 2020 Pairs of microweight tori in \(\mathrm{GL}_n\). Zbl 1477.20092 Nesterov, Vladimir Viktorovich; Vavilov, Nikolaĭ Aleksandrovich 1 2020 Unrelativized standard commutator formula. Zbl 1428.20033 Vavilov, Nikolaĭ A. 4 2019 Reshaping the metaphor of proof. Zbl 1436.00043 Vavilov, Nikolai 2 2019 Towards the reverse decomposition of unipotents. Zbl 1472.20115 Vavilov, N. A. 1 2019 Multiple commutator formulas for unitary groups. Zbl 1403.20049 Hazrat, R.; Vavilov, Nikolai; Zhang, Z. 9 2017 The commutators of classical groups. Zbl 1393.20023 Hazrat, R.; Vavilov, Nikolai; Zhang, Z. 9 2017 Generation of relative commutator subgroups in Chevalley groups. Zbl 1348.20055 Hazrat, R.; Vavilov, N.; Zhang, Z. 11 2016 Normalizer of the Chevalley group of type \(\mathrm{E}_7\). Zbl 1361.20034 Vavilov, N. A.; Luzgarev, A. Yu. 8 2016 Decomposition of unipotents for \(\mathrm{E}_6\) and \(\mathrm{E}_7\): 25 years after. Zbl 1367.20056 Vavilov, Nikolai A. 3 2016 On Grothendieck-Serre’s conjecture concerning principal \(G\)-bundles over reductive group schemes: I. Zbl 1317.14102 Panin, I.; Stavrova, A.; Vavilov, N. 24 2015 The yoga of commutators: further applications. Zbl 1316.20055 Hazrat, R.; Stepanov, A. V.; Vavilov, N. A.; Zhang, Z. 10 2014 Obituary: Valentin Evgen’evich Voskresenskii. Zbl 1302.01051 Vavilov, N. A.; Vinberg, E. B.; Panin, I. A.; Panov, A. N.; Parshin, A. N.; Platonov, V. P.; Popov, V. L. 1 2014 Commutator width in Chevalley groups. Zbl 1294.20059 Hazrat, Roozbeh; Stepanov, Alexei; Vavilov, Nikolai; Zhang, Zuhong 28 2013 Relative commutator calculus in Chevalley groups. Zbl 1292.20053 Hazrat, Roozbeh; Vavilov, Nikolai; Zhang, Zuhong 17 2013 Linear groups over general rings. I: Generalities. Zbl 1278.20066 Vavilov, N. A.; Stepanov, A. V. 9 2013 Overgroups of subsystem subgroups in exceptional groups: levels. Zbl 1301.20043 Vavilov, N. A.; Shchegolev, A. V. 9 2013 Long root tori in Chevalley groups. Zbl 1304.20062 Vavilov, N. A.; Semenov, A. A. 5 2013 \(\mathrm{SL}_2\)-factorizations of Chevalley groups. Zbl 1278.20060 Vavilov, N. A.; Kovach, E. I. 1 2013 Gauss decomposition for Chevalley groups, revisited. Zbl 1261.20050 Smolensky, A. V.; Sury, Balasubramanian; Vavilov, Nikolai A. 9 2012 Unitriangular factorizations of Chevalley groups. Zbl 1261.20051 Vavilov, N. A.; Smolensky, A. V.; Sury, B. 9 2012 Chevalley groups of type \(E_7\) in the 56-dimensional representation. Zbl 1306.20050 Vavilov, N. A.; Luzgarev, A. Yu. 9 2012 Parabolic factorizations of split classical groups. Zbl 1283.20057 Vavilov, N. A.; Sinchuk, S. S. 7 2012 \(A_3\)-proof of structure theorems for Chevalley groups of types \(E_6\) and \(E_7\). II: Main lemma. Zbl 1278.20065 Vavilov, N. A. 5 2012 Overgroups of \(E(m,R)\otimes E(n,R)\). I: Levels and normalizers. Zbl 1278.20069 Anan’evskiĭ, A. S.; Vavilov, N. A.; Sinchuk, S. S. 5 2012 The yoga of commutators. Zbl 1318.20049 Hazrat, R.; Stepanov, A. V.; Vavilov, N. A.; Zhang, Z. 24 2011 On the length of commutators in Chevalley groups. Zbl 1262.20054 Stepanov, Alexei; Vavilov, Nikolai 22 2011 Relative unitary commutator calculus, and applications. Zbl 1245.20064 Hazrat, Roozbeh; Vavilov, Nikolai; Zhang, Zuhong 18 2011 On subgroups normalized by \(\mathrm{EO}(2l,R)\). Zbl 1273.20046 Bakulin, S. V.; Vavilov, N. A. 2 2011 Standard commutator formula, revisited. Zbl 1254.20038 Vavilov, N. A.; Stepanov, A. V. 18 2010 Relative subgroups in Chevalley groups. Zbl 1204.20066 Hazrat, R.; Petrov, V.; Vavilov, N. 16 2010 More variations on the decomposition of transvections. Zbl 1215.20048 Vavilov, N. A.; Kazakevich, V. G. 9 2010 Calculations in exceptional groups over rings. Zbl 1288.20063 Luzgarev, A.; Stepanov, A.; Vavilov, N. 9 2010 Some more exceptional numerology. Zbl 1215.20043 Vavilov, N. A. 6 2010 Dennis-Vaserstein type decompositions. Zbl 1215.20049 Vavilov, N. A.; Sinchuk, S. S. 6 2010 The structure of isotropic reductive groups. Zbl 1459.20038 Vavilov, N. A. 2 2010 Parabolic subgroups of \(\mathrm{SL}_n\) and \(\mathrm{Sp}_{2l}\) over a Dedekind ring of arithmetic type. Zbl 1215.20047 Aleksandrov, A. V.; Vavilov, N. A. 1 2010 Bak’s work on the \(K\)-theory of rings. Zbl 1183.19001 Hazrat, Roozbeh; Vavilov, Nikolai 46 2009 Localization-completion strikes again: relative \(K_1\) is nilpotent by Abelian. Zbl 1167.19002 Bak, A.; Hazrat, R.; Vavilov, N. 33 2009 Weight elements of Chevalley groups. Zbl 1206.20051 Vavilov, N. A. 12 2009 \(A_2\)-proof of structure theorems for Chevalley groups of type \(F_4\). Zbl 1206.20055 Vavilov, N. A.; Nikolenko, S. I. 11 2009 Numerology of quadratic equations. Zbl 1206.20050 Vavilov, N. A. 9 2009 On the description of overgroups of \(E(m,R)\otimes E(n,R)\). Zbl 1183.20056 Ananievsky, A. S.; Vavilov, N. A.; Sinchuk, S. S. 7 2009 Decomposition of transvections for automorphisms. Zbl 1211.20043 Vavilov, N. A.; Kazakevich, V. G. 3 2009 Overgroups of semisimple groups. Zbl 1322.20040 Vavilov, N. A.; Stepanov, A. V. 29 2008 Standard commutator formula. Zbl 1147.20042 Vavilov, N. A.; Stepanov, A. V. 25 2008 Normalizer of the Chevalley group of type \(E_6\). Zbl 1206.20054 Vavilov, N. A.; Luzgarev, A. Yu. 15 2008 Overgroups of \(\text{EO}(n,R)\). Zbl 1159.20024 Vavilov, N. A.; Petrov, V. A. 13 2008 Can one see the signs of structure constants? Zbl 1203.20041 Vavilov, N. A. 12 2008 Basic reductions in the description of normal subgroups. Zbl 1312.20043 Vavilov, N. A.; Stavrova, A. K. 8 2008 Subgroups of symplectic groups that contain a subsystem subgroup. Zbl 1312.20046 Vavilov, N. A. 6 2008 Yet another variation on the theme of decomposition of transvections. Zbl 1175.20043 Vavilov, N. A.; Kazakevich, V. G. 6 2008 Geometry of microweight tori. Zbl 1324.20026 Vavilov, N. A.; Nesterov, V. V. 5 2008 Geometry of 1-tori in \(\text{GL}_n\). Zbl 1202.20054 Vavilov, N. A. 1 2008 An \(A_3\)-proof of structure theorems for Chevalley groups of types \(E_6\) and \(E_7\). Zbl 1172.20034 Vavilov, Nikolai 25 2007 Structure of Chevalley groups: the proof from The Book. Zbl 1162.20032 Vavilov, N. A.; Gavrilovich, M. R.; Nikolenko, S. I. 27 2006 Chevalley group of type \(E_6\) in the 27-dimensional representation. Zbl 1124.20032 Vavilov, N. A.; Luzgarev, A. Yu.; Pevzner, I. M. 25 2006 Polyvector representations of \(\text{GL}_n\). Zbl 1125.20031 Vavilov, N. A.; Perelman, E. Ya. 7 2006 Orbits of subsystem stabilisers. Zbl 1144.20023 Vavilov, N. A.; Kharchev, N. P. 2 2006 An \(A_2\)-proof of structure theorems for Chevalley groups of types \(E_6\) and \(E_7\). Zbl 1105.20039 Vavilov, N. A.; Gavrilovich, M. R. 18 2005 Noncommutative algebra and geometry. Selected papers of a conference in honor of Z. Borevich, St. Petersburg, Russia. Zbl 1072.16500 1 2005 Overgroups of elementary symplectic groups. Zbl 1075.20017 Vavilov, N. A.; Petrov, V. A. 23 2004 \(K_{1}\) of Chevalley groups are nilpotent. Zbl 1012.19001 Hazrat, Roozbeh; Vavilov, Nikolai 66 2003 Subgroups of the spinor group that contain a split maximal torus. II. Zbl 1070.20057 Vavilov, N. A. 1 2002 Subgroups of split orthogonal groups. II. Zbl 1052.20030 Vavilov, N. A. 1 2002 Do it yourself: the structure constants for Lie algebras of types \(E_l\). Zbl 1062.17004 Vavilov, N. A. 23 2001 Subgroups of split orthogonal groups over a commutative ring. Zbl 1080.20046 Vavilov, N. A. 11 2001 The intersection of two Bruhat cells. Zbl 1069.20036 Vavilov, N. A.; Mitrofanov, M. Yu. 5 2001 Decomposition of transvections: A theme with variations. Zbl 0944.20031 Stepanov, Alexei; Vavilov, Nikolai 75 2000 Structure of hyperbolic unitary groups. I: Elementary subgroups. Zbl 0963.20024 Bak, Anthony; Vavilov, Nikolai 67 2000 A third look at weight diagrams. Zbl 1016.20029 Vavilov, Nikolai 46 2000 On the overgroups of \(\text{EO}(2l,R)\). Zbl 1069.20040 Vavilov, N. A.; Petrov, V. A. 18 2000 Presenting powers of augmentation ideals and Pfister forms. Zbl 0985.11016 Bak, Anthony; Vavilov, Nikolai 4 2000 Visual basic representations: An atlas. Zbl 0957.17006 Plotkin, Eugene; Semenov, Andrei; Vavilov, Nikolai 48 1998 Chevalley groups over commutative rings. I: Elementary calculations. Zbl 0861.20044 Vavilov, Nikolai; Plotkin, Eugene 71 1996 \((2,3)\)-generation of \(\text{SL}(n,q)\). II: Cases \(n\geq 8\). Zbl 0847.20043 Di Martino, Lino; Vavilov, Nikolai 16 1996 On the lattice of subgroups of Chevalley groups containing a split maximal torus. Zbl 0857.20023 Harebov, Alan; Vavilov, Nikolai 10 1996 Normality for elementary subgroup functors. Zbl 0857.20028 Bak, Anthony; Vavilov, Nikolai 36 1995 Intermediate subgroups in Chevalley groups. Zbl 0879.20020 Vavilov, Nikolai 30 1995 Unipotent elements in subgroups which contain a split maximal torus. Zbl 0865.20030 Vavilov, Nikolai 3 1995 \((2,3)\)-generation of \(SL(n,q)\). I: Cases \(n=5,6,7\). Zbl 0805.20038 Di Martino, Lino; Vavilov, Nikolai 21 1994 Long root semisimple elements in Chevalley groups. Zbl 0859.20035 Vavilov, N. A.; Semenov, A. A. 4 1994 Subgroups of Chevalley groups containing a maximal torus. Zbl 0796.20034 Vavilov, N. A. 2 1993 Unipotent elements in subgroups of extended Chevalley groups containing a split maximal torus. Zbl 0830.20069 Vavilov, N. A. 2 1993 On subgroups of the general symplectic group over a commutative ring. Zbl 0900.19002 Vavilov, N. A. 2 1993 Structure of Chevalley groups over commutative rings. Zbl 0799.20042 Vavilov, Nikolai A. 65 1991 Subgroups of Chevalley groups containing a maximal torus. Zbl 0753.20013 Vavilov, N. A. 4 1991 Subgroups of a spinor group containing a maximal split torus. I. Zbl 0779.20024 Vavilov, N. A. 1 1991 On subgroups of splittable classical groups. Zbl 0723.20028 Vavilov, N. A. 13 1990 A note on the subnormal structure of general linear groups. Zbl 0701.20025 Vavilov, N. A. 12 1990 On subgroups of split classical groups. Zbl 0741.20034 Vavilov, N. A. 10 1990 ...and 67 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 230 Authors 89 Vavilov, Nikolaĭ Aleksandrovich 20 Stepanov, Alexeĭ Vladimirovich 16 Zhang, Zuhong 14 Bunina, Elena Igor’evna 13 Hazrat, Roozbeh 12 Panin, Ivan A. 12 Plotkin, Eugene 10 Bashkirov, Evgenii L. 10 Stavrova, Anastasia K. 9 Gvozdevsky, Pavel 9 Sinchuk, Sergeĭ Sergeevich 8 Pevzner, Igor’ M. 7 Borevich, Zenon Ivanovich 7 Preusser, Raimund 7 Rao, Ravi A. 6 Bak, Anthony 6 Basu, Rabeya 6 Luzgarev, A. Yu. 6 Vsemirnov, Maxim 5 Lubkov, Roman A. 5 Smolensky, Andrei 5 Vaserstein, Leonid N. 5 You, Hong 4 Gordeev, Nikolai L. 4 Koĭbaev, Vladimir Amurkhanovich 4 Nesterov, Vladimir Viktorovich 4 Nuzhin, Yakov Nifant’evich 3 Chen, Yu 3 Di Martino, Lino 3 Ellers, Erich Werner 3 Fedorov, Roman M. 3 Garibaldi, Skip 3 Garonzi, Martino 3 Hoi, Tran Ngoc 3 Hołubowski, Waldemar 3 Jose, Selby 3 Kazakevich, V. G. 3 Kunyavskiĭ, Boris Èmmanuilovich 3 Lavrenov, Andrei V. 3 Levy, Dan 3 Menal, Pere 3 Nekrasov, Ilia I. 3 Nhat, Nguyen Huu Tri 3 Petrov, Viktor 3 Shchegolev, A. V. 3 Tamburini, Maria Chiara 3 Tang, Guoping 3 Vasilyev, V. L. 3 Zalesski, Alexandre Efimovich 2 Ambily, Ambattu Asokan 2 Anan’evskii, A. S. 2 Al-Ali Bani-Ata, Mashhour 2 Bui Xuan Hai 2 Česnavičius, Kęstutis 2 de Graaf, Willem Adriaan 2 Dybkova, E. V. 2 Gavrilovich, Mikhaĭl R. 2 Gupta, Chander Kanta 2 Kanel’-Belov, Alekseĭ Yakovlevich 2 Khanna, Reema 2 Kolotilina, Lily Yu. 2 Levchuk, Vladimir M. 2 Maróti, Attila 2 Nguyen Thi Thai Ha 2 Pellegrini, Marco Antonio 2 Röhrle, Gerhard 2 Semenov, Alexey A. 2 Semenov, N. S. 2 Simion, Iulian Ion 2 Słowik, Roksana 2 Voronetsky, E. Yu. 2 Voronetsky, Egor 2 Wendt, Matthias 2 Yu, Weibo 2 Zhou, Xuemei 1 Al-dhufeeri, Shuaa 1 Al-Hamad, A. H. 1 Aleksandrov, A. V. 1 Ali, Faryad 1 Apte, Himanee 1 Arzhantsev, Ivan Vladimirovich 1 Aschbacher, Michael George 1 Asok, Aravind 1 Atamanova, M. M. 1 Avdeev, Roman S. 1 Azad, Hassan 1 Bakulin, S. V. 1 Bardini, Carla 1 Batalkin, K. O. 1 Baur, Karin 1 Beauchard, Karine 1 Beth, Thomas 1 Biswas, Dipnit 1 Biswas, Indranil 1 Bovdi, Victor A. 1 Carberry, Emma 1 Carbone, Lisa J. 1 Carr, Michael 1 Cazzola, Marina 1 Chakraborty, Kuntal ...and 130 more Authors all top 5 Cited in 87 Serials 71 Journal of Mathematical Sciences (New York) 43 St. Petersburg Mathematical Journal 31 Journal of Algebra 27 Journal of Soviet Mathematics 22 Communications in Algebra 14 Journal of Pure and Applied Algebra 8 Journal of \(K\)-Theory 7 Vestnik St. Petersburg University. 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Series A 1 Differential Geometry and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Journal of Knot Theory and its Ramifications 1 Zapiski Nauchnykh Seminarov POMI 1 Transformation Groups 1 Mathematics and Mechanics of Solids 1 Geometry & Topology 1 Matematicheskie Trudy 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Communications of the Korean Mathematical Society 1 Journal of High Energy Physics 1 Trudy Instituta Matematiki 1 Algebraic & Geometric Topology 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Proceedings of the Steklov Institute of Mathematics 1 Algebra & Number Theory 1 Journal of Topology and Analysis 1 Science China. Mathematics 1 International Journal of Group Theory 1 Communications in Mathematics 1 Forum of Mathematics, Pi 1 Journal of Siberian Federal University. Mathematics & Physics all top 5 Cited in 28 Fields 306 Group theory and generalizations (20-XX) 55 \(K\)-theory (19-XX) 46 Algebraic geometry (14-XX) 42 Nonassociative rings and algebras (17-XX) 24 Commutative algebra (13-XX) 18 Number theory (11-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 14 Associative rings and algebras (16-XX) 7 Mathematical logic and foundations (03-XX) 6 Topological groups, Lie groups (22-XX) 5 History and biography (01-XX) 5 Category theory; homological algebra (18-XX) 4 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Quantum theory (81-XX) 2 Mathematics education (97-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year