Edit Profile (opens in new tab) Stepanov, Alexeĭ Vladimirovich Co-Author Distance Author ID: stepanov.alexei-vladimirovich Published as: Stepanov, A. V.; Stepanov, Alexei; Stepanov, A. more...less Further Spellings: Степанов Алексей Владимирович Homepage: http://alexei.stepanov.spb.ru/english.html External Links: MGP · ORCID · Math-Net.Ru Documents Indexed: 49 Publications since 1986, including 8 Additional arXiv Preprints Co-Authors: 11 Co-Authors with 21 Joint Publications 191 Co-Co-Authors all top 5 Co-Authors 22 single-authored 13 Vavilov, Nikolaĭ Aleksandrovich 3 Hazrat, Roozbeh 3 Zhang, Zuhong 2 Bak, Anthony 2 Kogan, Mark Mikhailovich 2 Nuzhin, Yakov Nifant’evich 1 Apte, Himanee 1 Hołubowski, Waldemar 1 Lubkov, Roman A. 1 Luzgarev, A. Yu. 1 Nesterov, Vladimir Viktorovich 1 Petukhov, S. A. 1 Plotkin, Eugene 1 Sivatski, Alexander S. 1 Sizikov, V. S. 1 Stavrova, Anastasia K. all top 5 Serials 8 Journal of Mathematical Sciences (New York) 4 Journal of Algebra 4 St. Petersburg Mathematical Journal 3 Vestnik St. Petersburg University. Mathematics 2 Soviet Mathematics. Doklady 2 \(K\)-Theory 2 Automation and Remote Control 1 Israel Journal of Mathematics 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Linear and Multilinear Algebra 1 Russian Mathematical Surveys 1 Algebra and Logic 1 Journal of Soviet Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Soviet Mathematics 1 Note di Matematica 1 Communications in Statistics. Simulation and Computation 1 Vestnik Leningrad University. Mathematics 1 Algebra Colloquium 1 Central European Journal of Mathematics 1 Vestnik Samarskogo Gosudarstvennogo Universitetea. Estestvennonauchnaya Seriya 1 The Journal of Prime Research in Mathematics 1 International Journal of Group Theory all top 5 Fields 35 Group theory and generalizations (20-XX) 10 \(K\)-theory (19-XX) 7 Category theory; homological algebra (18-XX) 3 Algebraic geometry (14-XX) 3 Probability theory and stochastic processes (60-XX) 2 Associative rings and algebras (16-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 461 times in 152 Documents Cited by ▼ Year ▼ Decomposition of transvections: A theme with variations. Zbl 0944.20031 Stepanov, Alexei; Vavilov, Nikolai 75 2000 Structure of Chevalley groups over rings via universal localization. Zbl 1337.20057 Stepanov, Alexei 33 2016 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 Standard commutator formula. Zbl 1147.20042 Vavilov, N. A.; Stepanov, A. V. 25 2008 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 the word length of commutators in \(\text{GL}_n(R)\). Zbl 0935.20037 Sivatski, A. S.; Stepanov, A. V. 23 1999 On the length of commutators in Chevalley groups. Zbl 1262.20054 Stepanov, Alexei; Vavilov, Nikolai 22 2011 Standard commutator formula, revisited. Zbl 1254.20038 Vavilov, N. A.; Stepanov, A. V. 18 2010 Elementary calculus in Chevalley groups over rings. Zbl 1305.20059 Stepanov, Alexei 17 2013 Dimension theory and nonstable K-theory for net groups. Zbl 1072.19001 Bak, Anthony; Stepanov, Alexei 14 2001 Subring subgroups in Chevalley groups with doubly laced root systems. Zbl 1267.20073 Stepanov, Alexei 13 2012 Free product subgroups between Chevalley groups \(G(\Phi,F)\) and \(G(\Phi,F[t])\). Zbl 1211.20042 Stepanov, Alexei 12 2010 Non-standard subgroups between \(E_n(R)\) and \(\text{GL}_n(A)\). Zbl 1069.20042 Stepanov, Alexei 11 2004 The yoga of commutators: further applications. Zbl 1316.20055 Hazrat, R.; Stepanov, A. V.; Vavilov, N. A.; Zhang, Z. 10 2014 Local-global principle for congruence subgroups of Chevalley groups. Zbl 1302.20047 Apte, Himanee; Stepanov, Alexei 10 2014 Location of subgroups normalized by a given subgroup. Zbl 0790.20069 Stepanov, A. V. 9 1991 Non-abelian \(K\)-theory for Chevalley groups over rings. Zbl 1331.20059 Stepanov, A. V. 9 2015 Calculations in exceptional groups over rings. Zbl 1288.20063 Luzgarev, A.; Stepanov, A.; Vavilov, N. 9 2010 Linear groups over general rings. I: Generalities. Zbl 1278.20066 Vavilov, N. A.; Stepanov, A. V. 9 2013 A new look at the decomposition of unipotents and the normal structure of Chevalley groups. Zbl 1392.20041 Stepanov, A. 7 2017 Identity with constants in a Chevalley group of type \(F_4\). Zbl 1207.20044 Nesterov, V. V.; Stepanov, A. V. 5 2010 Subgroups of the general linear group over rings that satisfy stability conditions. Zbl 0702.20033 Vavilov, N. A.; Stepanov, A. V. 4 1989 On the normal structure of the general linear group over a ring. Zbl 0930.20045 Stepanov, A. V. 4 1997 On simulation of weak records. Zbl 07551467 Stepanov, A. 4 2019 Subgroups of Chevalley groups of types \(B_l\) and \(C_l\) containing the group over a subring, and corresponding carpets. Zbl 1442.20030 Nuzhin, Ya. N.; Stepanov, A. V. 4 2020 On subgroups of the general linear group over a ring satisfying stability conditions. Zbl 0692.20034 Vavilov, N. A.; Stepanov, A. V. 3 1989 A ring of finite stable rank is not necessarily Dedekind finite. Zbl 0651.20048 Stepanov, A. V. 3 1988 Subring subgroups of symplectic groups in characteristic 2. Zbl 1365.14064 Bak, A.; Stepanov, A. 3 2017 Subgroups of Chevalley groups over rings. Zbl 1498.20125 Lubkov, R.; Stepanov, A. 2 2021 Bruhat decomposition for carpet subgroups of Chevalley groups over fields. Zbl 1515.20267 Nuzhin, Ya. N.; Stepanov, A. V. 2 2021 Design of suboptimal robust controllers based on a priori and experimental data. Zbl 1530.93116 Kogan, M. M.; Stepanov, A. V. 1 2023 The ideal stable rank of rings. Zbl 0617.20027 Stepanov, A. V. 1 1986 Sandwich classification theorem. Zbl 1456.20022 Stepanov, Alexey 1 2015 Bijections preserving commutators and automorphisms of unitriangular groups. Zbl 1365.20047 Hołubowski, W.; Stepanov, A. V. 1 2017 Design of suboptimal robust controllers based on a priori and experimental data. Zbl 1530.93116 Kogan, M. M.; Stepanov, A. V. 1 2023 Subgroups of Chevalley groups over rings. Zbl 1498.20125 Lubkov, R.; Stepanov, A. 2 2021 Bruhat decomposition for carpet subgroups of Chevalley groups over fields. Zbl 1515.20267 Nuzhin, Ya. N.; Stepanov, A. V. 2 2021 Subgroups of Chevalley groups of types \(B_l\) and \(C_l\) containing the group over a subring, and corresponding carpets. Zbl 1442.20030 Nuzhin, Ya. N.; Stepanov, A. V. 4 2020 On simulation of weak records. Zbl 07551467 Stepanov, A. 4 2019 A new look at the decomposition of unipotents and the normal structure of Chevalley groups. Zbl 1392.20041 Stepanov, A. 7 2017 Subring subgroups of symplectic groups in characteristic 2. Zbl 1365.14064 Bak, A.; Stepanov, A. 3 2017 Bijections preserving commutators and automorphisms of unitriangular groups. Zbl 1365.20047 Hołubowski, W.; Stepanov, A. V. 1 2017 Structure of Chevalley groups over rings via universal localization. Zbl 1337.20057 Stepanov, Alexei 33 2016 Non-abelian \(K\)-theory for Chevalley groups over rings. Zbl 1331.20059 Stepanov, A. V. 9 2015 Sandwich classification theorem. Zbl 1456.20022 Stepanov, Alexey 1 2015 The yoga of commutators: further applications. Zbl 1316.20055 Hazrat, R.; Stepanov, A. V.; Vavilov, N. A.; Zhang, Z. 10 2014 Local-global principle for congruence subgroups of Chevalley groups. Zbl 1302.20047 Apte, Himanee; Stepanov, Alexei 10 2014 Commutator width in Chevalley groups. Zbl 1294.20059 Hazrat, Roozbeh; Stepanov, Alexei; Vavilov, Nikolai; Zhang, Zuhong 28 2013 Elementary calculus in Chevalley groups over rings. Zbl 1305.20059 Stepanov, Alexei 17 2013 Linear groups over general rings. I: Generalities. Zbl 1278.20066 Vavilov, N. A.; Stepanov, A. V. 9 2013 Subring subgroups in Chevalley groups with doubly laced root systems. Zbl 1267.20073 Stepanov, Alexei 13 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 Standard commutator formula, revisited. Zbl 1254.20038 Vavilov, N. A.; Stepanov, A. V. 18 2010 Free product subgroups between Chevalley groups \(G(\Phi,F)\) and \(G(\Phi,F[t])\). Zbl 1211.20042 Stepanov, Alexei 12 2010 Calculations in exceptional groups over rings. Zbl 1288.20063 Luzgarev, A.; Stepanov, A.; Vavilov, N. 9 2010 Identity with constants in a Chevalley group of type \(F_4\). Zbl 1207.20044 Nesterov, V. V.; Stepanov, A. V. 5 2010 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 Non-standard subgroups between \(E_n(R)\) and \(\text{GL}_n(A)\). Zbl 1069.20042 Stepanov, Alexei 11 2004 Dimension theory and nonstable K-theory for net groups. Zbl 1072.19001 Bak, Anthony; Stepanov, Alexei 14 2001 Decomposition of transvections: A theme with variations. Zbl 0944.20031 Stepanov, Alexei; Vavilov, Nikolai 75 2000 On the word length of commutators in \(\text{GL}_n(R)\). Zbl 0935.20037 Sivatski, A. S.; Stepanov, A. V. 23 1999 On the normal structure of the general linear group over a ring. Zbl 0930.20045 Stepanov, A. V. 4 1997 Location of subgroups normalized by a given subgroup. Zbl 0790.20069 Stepanov, A. V. 9 1991 Computations in Chevalley groups over commutative rings. Zbl 0795.20028 Vavilov, N. A.; Plotkin, E. B.; Stepanov, A. V. 24 1989 Subgroups of the general linear group over rings that satisfy stability conditions. Zbl 0702.20033 Vavilov, N. A.; Stepanov, A. V. 4 1989 On subgroups of the general linear group over a ring satisfying stability conditions. Zbl 0692.20034 Vavilov, N. A.; Stepanov, A. V. 3 1989 A ring of finite stable rank is not necessarily Dedekind finite. Zbl 0651.20048 Stepanov, A. V. 3 1988 The ideal stable rank of rings. Zbl 0617.20027 Stepanov, A. V. 1 1986 all cited Publications top 5 cited Publications all top 5 Cited by 81 Authors 57 Vavilov, Nikolaĭ Aleksandrovich 19 Stepanov, Alexeĭ Vladimirovich 15 Zhang, Zuhong 12 Hazrat, Roozbeh 8 Gvozdevsky, Pavel 7 Plotkin, Eugene 6 Kunyavskiĭ, Boris Èmmanuilovich 6 Sinchuk, Sergeĭ Sergeevich 5 Preusser, Raimund 5 Stavrova, Anastasia K. 4 Gordeev, Nikolai L. 4 Lubkov, Roman A. 4 Luzgarev, A. Yu. 4 Nuzhin, Yakov Nifant’evich 4 Rao, Ravi A. 3 Bak, Anthony 3 Hoi, Tran Ngoc 3 Kazakevich, V. G. 3 Nhat, Nguyen Huu Tri 3 Pevzner, Igor’ M. 3 Sharma, Sampat 3 Shchegolev, A. V. 3 Smolensky, Andrei 2 Anan’evskii, A. S. 2 Bashkirov, Evgenii L. 2 Basu, Rabeya 2 Ha, Nguyen Thi Thai 2 Khanna, Reema 2 Lavrenov, Andrei V. 2 Mai Hoang Bien 2 Nekrasov, Ilia I. 2 Nesterov, Vladimir Viktorovich 2 Nguyen Thi Thai Ha 2 Petrov, Viktor 2 Son, Tran Nam 2 Trương Hữu Dũng 2 Voronetsky, E. Yu. 1 Alahmadi, Adel N. 1 Aleksandrov, A. V. 1 Ambily, Ambattu Asokan 1 Apte, Himanee 1 Bakulin, S. V. 1 Bardini, Carla 1 Batalkin, K. O. 1 Bovdi, Victor A. 1 Chattopadhyay, Pratyusha 1 Costa, Douglas L. 1 Dashkova, Olga Yur’evna 1 Dubouloz, Adrien 1 Franchuk, Svetlana Konstantinovna 1 Gavrilovich, Mikhaĭl R. 1 Gnutov, F. A. 1 Ivanov, Aleksander A. 1 Jain, Surender Kumar 1 Jose, Selby 1 Kanel’-Belov, Alekseĭ Yakovlevich 1 Keller, Gordon E. 1 Koĭbaev, Vladimir Amurkhanovich 1 Kovach, E. I. 1 Lam, Tsit-Yuen 1 Leroy, André Gérard 1 Likhacheva, Alena Olegovna 1 Mimura, Masato 1 Nica, Bogdan 1 Nikolenko, Sergey I. 1 Phan Hoang Nam 1 Polterovich, Leonid Viktorovich 1 Regeta, Andriy 1 Salim, Mohamed Ahmed M. 1 Shalom, Yehuda 1 Shchegolev, Aleksandr A. 1 Shemtov, Zvi 1 Shusterman, Mark 1 Slanina, Piotr 1 Smolensky, A. V. 1 Sury, Balasubramanian 1 Tang, Guoping 1 Tent, Katrin 1 Tran Nam Son 1 Yu, Weibo 1 Zarzycki, Roland all top 5 Cited in 38 Serials 38 Journal of Mathematical Sciences (New York) 27 St. Petersburg Mathematical Journal 10 Journal of Algebra 8 Communications in Algebra 6 Journal of Pure and Applied Algebra 6 Vestnik St. Petersburg University. Mathematics 5 Journal of Group Theory 4 Israel Journal of Mathematics 4 Linear and Multilinear Algebra 4 International Journal of Algebra and Computation 3 Rendiconti del Seminario Matematico della Università di Padova 3 Linear Algebra and its Applications 2 Bulletin of the London Mathematical Society 2 Journal of Soviet Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Documenta Mathematica 2 Journal of the European Mathematical Society (JEMS) 2 European Journal of Mathematics 1 Acta Mathematica Vietnamica 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Ricerche di Matematica 1 Siberian Mathematical Journal 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Algebra Colloquium 1 ELA. The Electronic Journal of Linear Algebra 1 Transformation Groups 1 Doklady Mathematics 1 Communications of the Korean Mathematical Society 1 Trudy Instituta Matematiki 1 Central European Journal of Mathematics 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Journal of Homotopy and Related Structures 1 Journal of \(K\)-Theory 1 International Journal of Group Theory 1 Journal of Siberian Federal University. Mathematics & Physics all top 5 Cited in 13 Fields 138 Group theory and generalizations (20-XX) 37 \(K\)-theory (19-XX) 10 Commutative algebra (13-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Nonassociative rings and algebras (17-XX) 7 Associative rings and algebras (16-XX) 6 Algebraic geometry (14-XX) 4 Number theory (11-XX) 4 Category theory; homological algebra (18-XX) 3 Topological groups, Lie groups (22-XX) 2 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) Citations by Year