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: 37 Publications since 1986 Co-Authors: 11 Co-Authors with 21 Joint Publications 165 Co-Co-Authors all top 5 Co-Authors 15 single-authored 13 Vavilov, Nikolaĭ Aleksandrovich 3 Hazrat, Roozbeh 3 Zhang, Zuhong 2 Bak, Anthony 2 Nuzhin, Yakov Nifant’evich 1 Apte, Himanee 1 Hołubowski, Waldemar 1 Lubkov, Roman A. 1 Luzgarev, A. Yu. 1 Nesterov, Vladimir Viktorovich 1 Plotkin, Eugene 1 Sivatski, Alexander S. all top 5 Serials 8 Journal of Mathematical Sciences (New York) 4 St. Petersburg Mathematical Journal 3 Journal of Algebra 2 Soviet Mathematics. Doklady 2 \(K\)-Theory 2 Vestnik St. Petersburg University. Mathematics 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 34 Group theory and generalizations (20-XX) 9 \(K\)-theory (19-XX) 7 Category theory; homological algebra (18-XX) 3 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 1 Number theory (11-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 419 times in 140 Documents Cited by ▼ Year ▼ Decomposition of transvections: A theme with variations. Zbl 0944.20031Stepanov, Alexei; Vavilov, Nikolai 68 2000 Structure of Chevalley groups over rings via universal localization. Zbl 1337.20057Stepanov, Alexei 28 2016 Overgroups of semisimple groups. Zbl 1322.20040Vavilov, N. A.; Stepanov, A. V. 26 2008 Commutator width in Chevalley groups. Zbl 1294.20059Hazrat, Roozbeh; Stepanov, Alexei; Vavilov, Nikolai; Zhang, Zuhong 24 2013 Standard commutator formula. Zbl 1147.20042Vavilov, N. A.; Stepanov, A. V. 24 2008 The yoga of commutators. Zbl 1318.20049Hazrat, R.; Stepanov, A. V.; Vavilov, N. A.; Zhang, Z. 24 2011 Computations in Chevalley groups over commutative rings. Zbl 0795.20028Vavilov, N. A.; Plotkin, E. B.; Stepanov, A. V. 23 1989 On the word length of commutators in \(\text{GL}_n(R)\). Zbl 0935.20037Sivatski, A. S.; Stepanov, A. V. 21 1999 On the length of commutators in Chevalley groups. Zbl 1262.20054Stepanov, Alexei; Vavilov, Nikolai 18 2011 Elementary calculus in Chevalley groups over rings. Zbl 1305.20059Stepanov, Alexei 17 2013 Standard commutator formula, revisited. Zbl 1254.20038Vavilov, N. A.; Stepanov, A. V. 16 2010 Dimension theory and nonstable K-theory for net groups. Zbl 1072.19001Bak, Anthony; Stepanov, Alexei 14 2001 Subring subgroups in Chevalley groups with doubly laced root systems. Zbl 1267.20073Stepanov, Alexei 13 2012 Free product subgroups between Chevalley groups \(G(\Phi,F)\) and \(G(\Phi,F[t])\). Zbl 1211.20042Stepanov, Alexei 11 2010 Local-global principle for congruence subgroups of Chevalley groups. Zbl 1302.20047Apte, Himanee; Stepanov, Alexei 10 2014 The yoga of commutators: further applications. Zbl 1316.20055Hazrat, R.; Stepanov, A. V.; Vavilov, N. A.; Zhang, Z. 10 2014 Non-standard subgroups between \(E_n(R)\) and \(\text{GL}_n(A)\). Zbl 1069.20042Stepanov, Alexei 9 2004 Calculations in exceptional groups over rings. Zbl 1288.20063Luzgarev, A.; Stepanov, A.; Vavilov, N. 9 2010 Location of subgroups normalized by a given subgroup. Zbl 0790.20069Stepanov, A. V. 9 1991 Non-abelian \(K\)-theory for Chevalley groups over rings. Zbl 1331.20059Stepanov, A. V. 9 2015 Linear groups over general rings. I: Generalities. Zbl 1278.20066Vavilov, N. A.; Stepanov, A. V. 7 2013 A new look at the decomposition of unipotents and the normal structure of Chevalley groups. Zbl 1392.20041Stepanov, A. 5 2017 Subgroups of the general linear group over rings that satisfy stability conditions. Zbl 0702.20033Vavilov, N. A.; Stepanov, A. V. 4 1989 On subgroups of the general linear group over a ring satisfying stability conditions. Zbl 0692.20034Vavilov, N. A.; Stepanov, A. V. 3 1989 Identity with constants in a Chevalley group of type \(F_4\). Zbl 1207.20044Nesterov, V. V.; Stepanov, A. V. 3 2010 A ring of finite stable rank is not necessarily Dedekind finite. Zbl 0651.20048Stepanov, A. V. 3 1988 Subring subgroups of symplectic groups in characteristic 2. Zbl 1365.14064Bak, A.; Stepanov, A. 3 2017 On the normal structure of the general linear group over a ring. Zbl 0930.20045Stepanov, A. V. 3 1997 Subgroups of Chevalley groups of types \(B_l\) and \(C_l\) containing the group over a subring, and corresponding carpets. Zbl 1442.20030Nuzhin, Ya. N.; Stepanov, A. V. 2 2020 On simulation of weak records. Zbl 07551467Stepanov, A. 2 2019 The ideal stable rank of rings. Zbl 0617.20027Stepanov, A. V. 1 1986 Sandwich classification theorem. Zbl 1456.20022Stepanov, Alexey 1 2015 Bijections preserving commutators and automorphisms of unitriangular groups. Zbl 1365.20047Hołubowski, W.; Stepanov, A. V. 1 2017 Bruhat decomposition for carpet subgroups of Chevalley groups over fields. Zbl 1515.20267Nuzhin, Ya. N.; Stepanov, A. V. 1 2021 Bruhat decomposition for carpet subgroups of Chevalley groups over fields. Zbl 1515.20267Nuzhin, Ya. N.; Stepanov, A. V. 1 2021 Subgroups of Chevalley groups of types \(B_l\) and \(C_l\) containing the group over a subring, and corresponding carpets. Zbl 1442.20030Nuzhin, Ya. N.; Stepanov, A. V. 2 2020 On simulation of weak records. Zbl 07551467Stepanov, A. 2 2019 A new look at the decomposition of unipotents and the normal structure of Chevalley groups. Zbl 1392.20041Stepanov, A. 5 2017 Subring subgroups of symplectic groups in characteristic 2. Zbl 1365.14064Bak, A.; Stepanov, A. 3 2017 Bijections preserving commutators and automorphisms of unitriangular groups. Zbl 1365.20047Hołubowski, W.; Stepanov, A. V. 1 2017 Structure of Chevalley groups over rings via universal localization. Zbl 1337.20057Stepanov, Alexei 28 2016 Non-abelian \(K\)-theory for Chevalley groups over rings. Zbl 1331.20059Stepanov, A. V. 9 2015 Sandwich classification theorem. Zbl 1456.20022Stepanov, Alexey 1 2015 Local-global principle for congruence subgroups of Chevalley groups. Zbl 1302.20047Apte, Himanee; Stepanov, Alexei 10 2014 The yoga of commutators: further applications. Zbl 1316.20055Hazrat, R.; Stepanov, A. V.; Vavilov, N. A.; Zhang, Z. 10 2014 Commutator width in Chevalley groups. Zbl 1294.20059Hazrat, Roozbeh; Stepanov, Alexei; Vavilov, Nikolai; Zhang, Zuhong 24 2013 Elementary calculus in Chevalley groups over rings. Zbl 1305.20059Stepanov, Alexei 17 2013 Linear groups over general rings. I: Generalities. Zbl 1278.20066Vavilov, N. A.; Stepanov, A. V. 7 2013 Subring subgroups in Chevalley groups with doubly laced root systems. Zbl 1267.20073Stepanov, Alexei 13 2012 The yoga of commutators. Zbl 1318.20049Hazrat, R.; Stepanov, A. V.; Vavilov, N. A.; Zhang, Z. 24 2011 On the length of commutators in Chevalley groups. Zbl 1262.20054Stepanov, Alexei; Vavilov, Nikolai 18 2011 Standard commutator formula, revisited. Zbl 1254.20038Vavilov, N. A.; Stepanov, A. V. 16 2010 Free product subgroups between Chevalley groups \(G(\Phi,F)\) and \(G(\Phi,F[t])\). Zbl 1211.20042Stepanov, Alexei 11 2010 Calculations in exceptional groups over rings. Zbl 1288.20063Luzgarev, A.; Stepanov, A.; Vavilov, N. 9 2010 Identity with constants in a Chevalley group of type \(F_4\). Zbl 1207.20044Nesterov, V. V.; Stepanov, A. V. 3 2010 Overgroups of semisimple groups. Zbl 1322.20040Vavilov, N. A.; Stepanov, A. V. 26 2008 Standard commutator formula. Zbl 1147.20042Vavilov, N. A.; Stepanov, A. V. 24 2008 Non-standard subgroups between \(E_n(R)\) and \(\text{GL}_n(A)\). Zbl 1069.20042Stepanov, Alexei 9 2004 Dimension theory and nonstable K-theory for net groups. Zbl 1072.19001Bak, Anthony; Stepanov, Alexei 14 2001 Decomposition of transvections: A theme with variations. Zbl 0944.20031Stepanov, Alexei; Vavilov, Nikolai 68 2000 On the word length of commutators in \(\text{GL}_n(R)\). Zbl 0935.20037Sivatski, A. S.; Stepanov, A. V. 21 1999 On the normal structure of the general linear group over a ring. Zbl 0930.20045Stepanov, A. V. 3 1997 Location of subgroups normalized by a given subgroup. Zbl 0790.20069Stepanov, A. V. 9 1991 Computations in Chevalley groups over commutative rings. Zbl 0795.20028Vavilov, N. A.; Plotkin, E. B.; Stepanov, A. V. 23 1989 Subgroups of the general linear group over rings that satisfy stability conditions. Zbl 0702.20033Vavilov, N. A.; Stepanov, A. V. 4 1989 On subgroups of the general linear group over a ring satisfying stability conditions. Zbl 0692.20034Vavilov, N. A.; Stepanov, A. V. 3 1989 A ring of finite stable rank is not necessarily Dedekind finite. Zbl 0651.20048Stepanov, A. V. 3 1988 The ideal stable rank of rings. Zbl 0617.20027Stepanov, A. V. 1 1986 all cited Publications top 5 cited Publications all top 5 Cited by 76 Authors 56 Vavilov, Nikolaĭ Aleksandrovich 19 Stepanov, Alexeĭ Vladimirovich 15 Zhang, Zuhong 12 Hazrat, Roozbeh 7 Gvozdevsky, Pavel 6 Kunyavskiĭ, Boris Èmmanuilovich 6 Sinchuk, Sergeĭ Sergeevich 5 Plotkin, Eugene 5 Preusser, Raimund 4 Gordeev, Nikolai L. 4 Luzgarev, A. Yu. 4 Rao, Ravi A. 4 Stavrova, Anastasia K. 3 Bak, Anthony 3 Hoi, Tran Ngoc 3 Kazakevich, V. G. 3 Lubkov, Roman A. 3 Nhat, Nguyen Huu Tri 3 Nuzhin, Yakov Nifant’evich 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 Khanna, Reema 2 Petrov, Viktor 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 Gavrilovich, Mikhaĭl R. 1 Gnutov, F. A. 1 Ha, Nguyen Thi Thai 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 Lavrenov, Andrei V. 1 Leroy, André Gérard 1 Mai Hoang Bien 1 Mimura, Masato 1 Nekrasov, Ilia I. 1 Nesterov, Vladimir Viktorovich 1 Nica, Bogdan 1 Nikolenko, Sergey I. 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 Son, Tran Nam 1 Sury, Balasubramanian 1 Tang, Guoping 1 Tent, Katrin 1 Trương Hữu Dũng 1 Yu, Weibo 1 Zarzycki, Roland all top 5 Cited in 34 Serials 37 Journal of Mathematical Sciences (New York) 27 St. Petersburg Mathematical Journal 9 Journal of Algebra 8 Communications in Algebra 6 Journal of Pure and Applied Algebra 5 Vestnik St. Petersburg University. Mathematics 5 Journal of Group Theory 4 Israel Journal of Mathematics 4 International Journal of Algebra and Computation 3 Linear and Multilinear Algebra 3 Rendiconti del Seminario Matematico della Università di Padova 2 Journal of Soviet Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Linear Algebra and its Applications 2 Journal of the European Mathematical Society (JEMS) 1 Bulletin of the London Mathematical Society 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 Documenta Mathematica 1 ELA. The Electronic Journal of Linear Algebra 1 Transformation Groups 1 Doklady Mathematics 1 Trudy Instituta Matematiki 1 Central European Journal of Mathematics 1 Journal of Homotopy and Related Structures 1 Journal of \(K\)-Theory 1 International Journal of Group Theory 1 European Journal of Mathematics 1 Journal of Siberian Federal University. Mathematics & Physics all top 5 Cited in 12 Fields 129 Group theory and generalizations (20-XX) 34 \(K\)-theory (19-XX) 10 Commutative algebra (13-XX) 8 Nonassociative rings and algebras (17-XX) 6 Algebraic geometry (14-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Associative rings and algebras (16-XX) 4 Category theory; homological algebra (18-XX) 3 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) Citations by Year