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## Mikhaĭlov, Roman Valer’evich

Compute Distance To:
 Author ID: mikhailov.roman Published as: Mikhailov, R.; Mikhailov, R. V.; Mikhailov, Roman; Mikhailov, Roman V.; Mikhajlov, R.; Mikhajlov, R. V.; Mikhaĭlov, R. V.; Mikhaĭlov, Roman V.; Mikhaǐlov, R. V. Homepage: http://www.mi.ras.ru/~romanvm/ External Links: MGP · Math-Net.Ru · Wikidata · ORCID
 Documents Indexed: 61 Publications since 2001, including 1 Book
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#### Co-Authors

 12 single-authored 15 Passi, Inder Bir Singh 11 Ivanov, Sergei O. 11 Wu, Jie 4 Bardakov, Valeriĭ Georgievich 3 Baumslag, Gilbert 3 Orr, Kent E. 2 Baues, Hans-Joachim 2 Breen, Lawrence S. 2 Vershinin, Vladimir V. 1 Cohen, Frederick Ronald 1 Ellis, Graham J. 1 Emmanouil, Ioannis 1 Dror Farjoun, Emmanuel 1 Hartl, Martin 1 Ivanov, Sergei Vladimirovich 1 Kanel’-Belov, Alekseĭ Yakovlevich 1 Melikhov, Sergey Aleksandrovich 1 Sosnilo, Vladimir Aleksandrovich 1 Touzé, Antoine 1 Zaikovskii, Anatolii
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#### Serials

 5 Communications in Algebra 5 Journal of Algebra 5 Algebraic & Geometric Topology 4 Journal of Pure and Applied Algebra 3 Forum Mathematicum 3 International Journal of Algebra and Computation 3 Sbornik: Mathematics 3 Geometry & Topology 3 Proceedings of the Steklov Institute of Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Russian Mathematical Surveys 2 Advances in Mathematics 2 Mathematische Zeitschrift 2 Izvestiya: Mathematics 2 Groups, Geometry, and Dynamics 1 Israel Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Compositio Mathematica 1 The Journal of the Indian Mathematical Society. New Series 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Transactions of the American Mathematical Society 1 Journal of Group Theory 1 Homology, Homotopy and Applications 1 Lecture Notes in Mathematics
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#### Fields

 43 Group theory and generalizations (20-XX) 23 Algebraic topology (55-XX) 16 Associative rings and algebras (16-XX) 16 Category theory; homological algebra (18-XX) 12 Manifolds and cell complexes (57-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH

44 Publications have been cited 139 times in 76 Documents Cited by Year
Lower central and dimension series of groups. Zbl 1157.20002
Mikhailov, Roman; Passi, Inder Bir Singh
2009
A colimit of classifying spaces. Zbl 1200.55023
Ellis, Graham; Mikhailov, Roman
2010
Brunnian braids on surfaces. Zbl 1270.20036
Bardakov, Valery G.; Mikhailov, Roman; Vershinin, Vladimir V.; Wu, Jie
2012
On homotopy groups of the suspended classifying spaces. Zbl 1196.55017
Mikhailov, Roman; Wu, Jie
2010
A limit approach to group homology. Zbl 1149.20042
Emmanouil, Ioannis; Mikhailov, Roman
2008
A new look at finitely generated metabelian groups. Zbl 1283.20032
Baumslag, Gilbert; Mikhailov, Roman; Orr, Kent E.
2012
Symmetric ideals in group rings and simplicial homotopy. Zbl 1218.20003
Mikhailov, Roman; Passi, Inder Bir S.; Wu, Jie
2011
Derived functors of nonadditive functors and homotopy theory. Zbl 1214.18012
Breen, Lawrence; Mikhailov, Roman
2011
On the pure virtual braid group $$PV_3$$. Zbl 1344.20048
Bardakov, V. G.; Mikhailov, R.; Vershinin, V. V.; Wu, J.
2016
Generalized dimension subgroups and derived functors. Zbl 1343.18002
Mikhailov, Roman; Passi, Inder Bir S.
2016
On a problem of Bousfield for metabelian groups. Zbl 1377.20037
Ivanov, Sergei O.; Mikhailov, Roman
2016
A higher limit approach to homology theories. Zbl 1305.18057
Ivanov, Sergei O.; Mikhailov, Roman
2015
Dimension quotients. Zbl 1184.20004
Hartl, M.; Mikhailov, R.; Passi, I. B. S.
2007
Faithfulness of certain modules and residual nilpotence of groups. Zbl 1144.20003
Mikhailov, Roman; Passi, Inder Bir S.
2006
Augmentation powers and group homology. Zbl 1059.16017
Mikhailov, Roman; Passi, Inder Bir S.
2004
Derived functors of the divided power functors. Zbl 1354.18017
Breen, Lawrence; Mikhailov, Roman; Touzé, Antoine
2016
On certain questions of the free group automorphisms theory. Zbl 1147.20032
Bardakov, Valery G.; Mikhailov, Roman
2008
On residual nilpotence of projective crossed modules. Zbl 1089.57004
Mikhailov, Roman
2006
Residual nilpotence and residual solubility of groups. Zbl 1138.20032
Mikhaĭlov, R. V.
2005
On discrete homology of a free pro-$$p$$-group. Zbl 07036903
Ivanov, Sergei O.; Mikhailov, Roman
2018
Free group rings and derived functors. Zbl 06979396
Mikhailov, Roman; Passi, Inder Bir S.
2018
Higher limits, homology theories and $$\mathbf{fr}$$-codes. Zbl 06945204
Ivanov, Sergei O.; Mikhailov, Roman
2018
Localization, metabelian groups, and the isomorphism problem. Zbl 1370.20032
Baumslag, Gilbert; Mikhailov, Roman; Orr, Kent E.
2017
The subgroup determined by a certain ideal in a free group ring. Zbl 1341.20003
Mikhailov, Roman; Passi, Inder Bir S.
2016
Faithful group actions and aspherical complexes. Zbl 1351.20029
Mikhailov, R. V.
2006
Higher traces on group rings. Zbl 1076.16008
Mikhailov, R.; Passi, Inder Bir S.
2005
A finite $$\mathbb{Q}$$-bad space. Zbl 1430.55009
Ivanov, Sergei O.; Mikhailov, Roman
2019
Dimension quotients, Fox subgroups and limits of functors. Zbl 07061175
Mikhailov, Roman; Passi, Inder Bir S.
2019
A combinatorial approach to the exponents of Moore spaces. Zbl 1414.55006
Cohen, Frederick R.; Mikhailov, Roman; Wu, Jie
2018
Homotopy theory and generalized dimension subgroups. Zbl 1395.55016
Ivanov, Sergei O.; Mikhailov, Roman; Wu, Jie
2017
On nontriviality of certain homotopy groups of spheres. Zbl 1366.55008
Ivanov, Sergei O.; Mikhailov, Roman; Wu, Jie
2016
On the metastable homotopy of $$\bmod 2$$ Moore spaces. Zbl 1354.55005
Mikhailov, Roman; Wu, Jie
2016
On transfinite nilpotence of the Vogel-Levine localization. Zbl 1341.55003
Mikhailov, Roman
2016
A one-relator group with long lower central series. Zbl 1336.20039
Mikhailov, Roman
2016
Polynomial functors and homotopy theory. Zbl 1338.18040
Mikhailov, Roman
2015
Residual properties of groups defined by basic commutators. Zbl 1316.20032
Baumslag, Gilbert; Mikhailov, Roman
2014
On zero-divisors in group rings of groups with torsion. Zbl 1300.20004
Ivanov, S. V.; Mikhailov, Roman
2014
Limits over categories of extensions. Zbl 1213.20050
Mikhailov, Roman; Passi, Inder Bir S.
2010
Free subalgebras of Lie algebras close to nilpotent. Zbl 1260.17007
Belov, Alexey; Mikhailov, Roman
2010
Intersection of subgroups in free groups and homotopy groups. Zbl 1172.55002
Baues, Hans-Joachim; Mikhailov, Roman
2008
On the residual properties of link groups. Zbl 1164.57002
Bardakov, V. G.; Mikhajlov, R. V.
2007
Homology of centralizers. Zbl 1131.16004
Mikhailov, Roman; Passi, Inder Bir S.
2007
Transfinite lower central series of groups: parafree properties and topological applications. Zbl 1070.20502
Mikhailov, R. V.
2002
Links modulo knots and the isotopic realization problem. Zbl 1009.57033
Melikhov, S. A.; Mikhailov, R. V.
2001
A finite $$\mathbb{Q}$$-bad space. Zbl 1430.55009
Ivanov, Sergei O.; Mikhailov, Roman
2019
Dimension quotients, Fox subgroups and limits of functors. Zbl 07061175
Mikhailov, Roman; Passi, Inder Bir S.
2019
On discrete homology of a free pro-$$p$$-group. Zbl 07036903
Ivanov, Sergei O.; Mikhailov, Roman
2018
Free group rings and derived functors. Zbl 06979396
Mikhailov, Roman; Passi, Inder Bir S.
2018
Higher limits, homology theories and $$\mathbf{fr}$$-codes. Zbl 06945204
Ivanov, Sergei O.; Mikhailov, Roman
2018
A combinatorial approach to the exponents of Moore spaces. Zbl 1414.55006
Cohen, Frederick R.; Mikhailov, Roman; Wu, Jie
2018
Localization, metabelian groups, and the isomorphism problem. Zbl 1370.20032
Baumslag, Gilbert; Mikhailov, Roman; Orr, Kent E.
2017
Homotopy theory and generalized dimension subgroups. Zbl 1395.55016
Ivanov, Sergei O.; Mikhailov, Roman; Wu, Jie
2017
On the pure virtual braid group $$PV_3$$. Zbl 1344.20048
Bardakov, V. G.; Mikhailov, R.; Vershinin, V. V.; Wu, J.
2016
Generalized dimension subgroups and derived functors. Zbl 1343.18002
Mikhailov, Roman; Passi, Inder Bir S.
2016
On a problem of Bousfield for metabelian groups. Zbl 1377.20037
Ivanov, Sergei O.; Mikhailov, Roman
2016
Derived functors of the divided power functors. Zbl 1354.18017
Breen, Lawrence; Mikhailov, Roman; Touzé, Antoine
2016
The subgroup determined by a certain ideal in a free group ring. Zbl 1341.20003
Mikhailov, Roman; Passi, Inder Bir S.
2016
On nontriviality of certain homotopy groups of spheres. Zbl 1366.55008
Ivanov, Sergei O.; Mikhailov, Roman; Wu, Jie
2016
On the metastable homotopy of $$\bmod 2$$ Moore spaces. Zbl 1354.55005
Mikhailov, Roman; Wu, Jie
2016
On transfinite nilpotence of the Vogel-Levine localization. Zbl 1341.55003
Mikhailov, Roman
2016
A one-relator group with long lower central series. Zbl 1336.20039
Mikhailov, Roman
2016
A higher limit approach to homology theories. Zbl 1305.18057
Ivanov, Sergei O.; Mikhailov, Roman
2015
Polynomial functors and homotopy theory. Zbl 1338.18040
Mikhailov, Roman
2015
Residual properties of groups defined by basic commutators. Zbl 1316.20032
Baumslag, Gilbert; Mikhailov, Roman
2014
On zero-divisors in group rings of groups with torsion. Zbl 1300.20004
Ivanov, S. V.; Mikhailov, Roman
2014
Brunnian braids on surfaces. Zbl 1270.20036
Bardakov, Valery G.; Mikhailov, Roman; Vershinin, Vladimir V.; Wu, Jie
2012
A new look at finitely generated metabelian groups. Zbl 1283.20032
Baumslag, Gilbert; Mikhailov, Roman; Orr, Kent E.
2012
Symmetric ideals in group rings and simplicial homotopy. Zbl 1218.20003
Mikhailov, Roman; Passi, Inder Bir S.; Wu, Jie
2011
Derived functors of nonadditive functors and homotopy theory. Zbl 1214.18012
Breen, Lawrence; Mikhailov, Roman
2011
A colimit of classifying spaces. Zbl 1200.55023
Ellis, Graham; Mikhailov, Roman
2010
On homotopy groups of the suspended classifying spaces. Zbl 1196.55017
Mikhailov, Roman; Wu, Jie
2010
Limits over categories of extensions. Zbl 1213.20050
Mikhailov, Roman; Passi, Inder Bir S.
2010
Free subalgebras of Lie algebras close to nilpotent. Zbl 1260.17007
Belov, Alexey; Mikhailov, Roman
2010
Lower central and dimension series of groups. Zbl 1157.20002
Mikhailov, Roman; Passi, Inder Bir Singh
2009
A limit approach to group homology. Zbl 1149.20042
Emmanouil, Ioannis; Mikhailov, Roman
2008
On certain questions of the free group automorphisms theory. Zbl 1147.20032
Bardakov, Valery G.; Mikhailov, Roman
2008
Intersection of subgroups in free groups and homotopy groups. Zbl 1172.55002
Baues, Hans-Joachim; Mikhailov, Roman
2008
Dimension quotients. Zbl 1184.20004
Hartl, M.; Mikhailov, R.; Passi, I. B. S.
2007
On the residual properties of link groups. Zbl 1164.57002
Bardakov, V. G.; Mikhajlov, R. V.
2007
Homology of centralizers. Zbl 1131.16004
Mikhailov, Roman; Passi, Inder Bir S.
2007
Faithfulness of certain modules and residual nilpotence of groups. Zbl 1144.20003
Mikhailov, Roman; Passi, Inder Bir S.
2006
On residual nilpotence of projective crossed modules. Zbl 1089.57004
Mikhailov, Roman
2006
Faithful group actions and aspherical complexes. Zbl 1351.20029
Mikhailov, R. V.
2006
Residual nilpotence and residual solubility of groups. Zbl 1138.20032
Mikhaĭlov, R. V.
2005
Higher traces on group rings. Zbl 1076.16008
Mikhailov, R.; Passi, Inder Bir S.
2005
Augmentation powers and group homology. Zbl 1059.16017
Mikhailov, Roman; Passi, Inder Bir S.
2004
Transfinite lower central series of groups: parafree properties and topological applications. Zbl 1070.20502
Mikhailov, R. V.
2002
Links modulo knots and the isotopic realization problem. Zbl 1009.57033
Melikhov, S. A.; Mikhailov, R. V.
2001
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#### Cited by 60 Authors

 30 Mikhaĭlov, Roman Valer’evich 14 Wu, Jie 13 Passi, Inder Bir Singh 9 Ivanov, Sergei O. 8 Bardakov, Valeriĭ Georgievich 4 Touzé, Antoine 4 Vershinin, Vladimir V. 3 Baumslag, Gilbert 3 Neshchadim, Mikhail Vladimirovich 2 Aladova, Elena V. 2 Li, Jingyan 2 Militaru, Gigel 2 Orr, Kent E. 2 Romero, Ana Armas 2 Suciu, Alexander I. 2 Wang, He 1 Agore, Ana-Loredana 1 An, Byung Hee 1 Araskhan, Mehdi 1 Bartholdi, Laurent 1 Birman, Joan S. 1 Breen, Lawrence S. 1 Brown, Ronald 1 Darné, Jacques 1 Drummond-Cole, Gabriel C. 1 Ellis, Graham J. 1 Emmanouil, Ioannis 1 Fang, Fuquan 1 Gao, Man 1 Grigoryan, Artur 1 Grishkov, Alexander Nikolaevich 1 Gromov, Mikhael Leonidovich 1 Gupta, Shalini 1 Hartl, Manfred 1 Heidari, Mahin 1 Huang, Ruizhi 1 Knudsen, Ben 1 Kozlovskaya, Tatyana A. 1 Lei, Fengchun 1 Melikhov, Sergey Aleksandrovich 1 Metaftsis, Vassilis 1 Mishchenko, Aleksandr Sergeevich 1 Monnier, Samuel 1 Moore, Gregory Winthrop 1 Mostovoy, Jacob 1 Nanda, Neha 1 Nekritsuhin, A. I. 1 Papistas, Athanassios I. 1 Pérez-Izquierdo, José María 1 Plaumann, Peter 1 Plotkin, Boris 1 Rismanchian, Mohammad Reza 1 Roman’kov, Vitaly Anatol’evich 1 Rubio García, Julio Jesús 1 Sabinina, Liudmila L. 1 Sergeraert, Francis 1 Shestakov, Ivan Pavlovich 1 Sosnilo, Vladimir Aleksandrovich 1 Vieira, Renato 1 Zaikovskii, Anatolii
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#### Cited in 42 Serials

 7 Journal of Algebra 6 Journal of Pure and Applied Algebra 4 Communications in Algebra 4 International Journal of Algebra and Computation 3 Journal of Knot Theory and its Ramifications 3 Algebraic & Geometric Topology 3 Proceedings of the Steklov Institute of Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Advances in Mathematics 2 Mathematische Zeitschrift 2 Siberian Mathematical Journal 2 Transactions of the American Mathematical Society 2 Topology and its Applications 2 Geometry & Topology 2 Groups, Geometry, and Dynamics 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Mathematics of Computation 1 Algebra and Logic 1 Annales de l’Institut Fourier 1 Compositio Mathematica 1 Fundamenta Mathematicae 1 Illinois Journal of Mathematics 1 Journal of the Mathematical Society of Japan 1 Proceedings of the American Mathematical Society 1 Advances in Applied Mathematics 1 Forum Mathematicum 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Documenta Mathematica 1 Foundations of Computational Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Chebyshevskiĭ Sbornik 1 Journal of Homotopy and Related Structures 1 São Paulo Journal of Mathematical Sciences 1 Bulletin of Mathematical Sciences 1 International Journal of Group Theory 1 Communications in Mathematics and Statistics 1 Chinese Journal of Mathematics 1 Annals of $$K$$-Theory
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#### Cited in 24 Fields

 55 Group theory and generalizations (20-XX) 27 Algebraic topology (55-XX) 21 Category theory; homological algebra (18-XX) 18 Associative rings and algebras (16-XX) 16 Manifolds and cell complexes (57-XX) 9 Nonassociative rings and algebras (17-XX) 3 Computer science (68-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX)