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Mikhaĭlov, Roman Valer’evich

Author ID: mikhailov.roman Recent zbMATH articles by "Mikhaĭlov, Roman Valer’evich"
Published as: Mikhailov, Roman; Mikhailov, R. V.; Mikhailov, R.; Mikhailov, Roman V.; Mikhaĭlov, Roman V.; Mikhaĭlov, R. V.; Mikhaǐlov, R. V.; Mikhajlov, R. V.; Mikhajlov, R.
Homepage: http://www.mi.ras.ru/~romanvm/
External Links: MGP · ORCID · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 77 Publications since 2001, including 1 Book and 9 Additional arXiv Preprints
Co-Authors: 22 Co-Authors with 60 Joint Publications
765 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 225 times in 118 Documents Cited by Year
Lower central and dimension series of groups. Zbl 1157.20002
Mikhailov, Roman; Passi, Inder Bir Singh
32
2009
A colimit of classifying spaces. Zbl 1200.55023
Ellis, Graham; Mikhailov, Roman
14
2010
On the pure virtual braid group \(PV_3\). Zbl 1344.20048
Bardakov, V. G.; Mikhailov, R.; Vershinin, V. V.; Wu, J.
9
2016
Derived functors of nonadditive functors and homotopy theory. Zbl 1214.18012
Breen, Lawrence; Mikhailov, Roman
9
2011
A finite \(\mathbb{Q}\)-bad space. Zbl 1430.55009
Ivanov, Sergei O.; Mikhailov, Roman
9
2019
Brunnian braids on surfaces. Zbl 1270.20036
Bardakov, Valery G.; Mikhailov, Roman; Vershinin, Vladimir V.; Wu, Jie
7
2012
A limit approach to group homology. Zbl 1149.20042
Emmanouil, Ioannis; Mikhailov, Roman
7
2008
Generalized dimension subgroups and derived functors. Zbl 1343.18002
Mikhailov, Roman; Passi, Inder Bir S.
6
2016
On a problem of Bousfield for metabelian groups. Zbl 1377.20037
Ivanov, Sergei O.; Mikhailov, Roman
6
2016
A new look at finitely generated metabelian groups. Zbl 1283.20032
Baumslag, Gilbert; Mikhailov, Roman; Orr, Kent E.
6
2012
A higher limit approach to homology theories. Zbl 1305.18057
Ivanov, Sergei O.; Mikhailov, Roman
6
2015
On the residual properties of link groups. Zbl 1164.57002
Bardakov, V. G.; Mikhajlov, R. V.
6
2007
On homotopy groups of the suspended classifying spaces. Zbl 1196.55017
Mikhailov, Roman; Wu, Jie
6
2010
Symmetric ideals in group rings and simplicial homotopy. Zbl 1218.20003
Mikhailov, Roman; Passi, Inder Bir S.; Wu, Jie
6
2011
Homological properties of parafree Lie algebras. Zbl 1479.17013
Ivanov, Sergei O.; Mikhailov, Roman; Zaikovskii, Anatolii
6
2020
Derived functors of the divided power functors. Zbl 1354.18017
Breen, Lawrence; Mikhailov, Roman; Touzé, Antoine
5
2016
Dimension quotients. Zbl 1184.20004
Hartl, M.; Mikhailov, R.; Passi, I. B. S.
5
2007
Localization, metabelian groups, and the isomorphism problem. Zbl 1370.20032
Baumslag, Gilbert; Mikhailov, Roman; Orr, Kent E.
4
2017
Augmentation powers and group homology. Zbl 1059.16017
Mikhailov, Roman; Passi, Inder Bir S.
4
2004
On nontriviality of certain homotopy groups of spheres. Zbl 1366.55008
Ivanov, Sergei O.; Mikhailov, Roman; Wu, Jie
4
2016
Faithfulness of certain modules and residual nilpotence of groups. Zbl 1144.20003
Mikhailov, Roman; Passi, Inder Bir S.
4
2006
Residual nilpotence and residual solubility of groups. Zbl 1138.20032
Mikhaĭlov, R. V.
4
2005
Free group rings and derived functors. Zbl 1471.20002
Mikhailov, Roman; Passi, Inder Bir S.
4
2018
On discrete homology of a free pro-\(p\)-group. Zbl 1453.20072
Ivanov, Sergei O.; Mikhailov, Roman
4
2018
Residual properties of groups defined by basic commutators. Zbl 1316.20032
Baumslag, Gilbert; Mikhailov, Roman
3
2014
Right exact group completion as a transfinite invariant of homology equivalence. Zbl 1512.57034
Ivanov, Sergei O.; Mikhailov, Roman
3
2021
Polynomial functors and homotopy theory. Zbl 1338.18040
Mikhailov, Roman
3
2015
On lengths of \(H\mathbb{Z}\)-localization towers. Zbl 1498.55011
Ivanov, Sergei O.; Mikhailov, Roman
3
2018
Combinatorial group theory and the homotopy groups of finite complexes. Zbl 1270.55011
Mikhailov, Roman; Wu, Jie
3
2013
On certain questions of the free group automorphisms theory. Zbl 1147.20032
Bardakov, Valery G.; Mikhailov, Roman
3
2008
On residual nilpotence of projective crossed modules. Zbl 1089.57004
Mikhailov, Roman
3
2006
Higher limits, homology theories and \(\mathbf{fr}\)-codes. Zbl 1483.18001
Ivanov, Sergei O.; Mikhailov, Roman
3
2018
Dimension quotients, Fox subgroups and limits of functors. Zbl 1454.20005
Mikhailov, Roman; Passi, Inder Bir S.
3
2019
The subgroup determined by a certain ideal in a free group ring. Zbl 1341.20003
Mikhailov, Roman; Passi, Inder Bir S.
2
2016
A one-relator group with long lower central series. Zbl 1336.20039
Mikhailov, Roman
2
2016
Homotopy theory and generalized dimension subgroups. Zbl 1395.55016
Ivanov, Sergei O.; Mikhailov, Roman; Wu, Jie
2
2017
Faithful group actions and aspherical complexes. Zbl 1351.20029
Mikhailov, R. V.
2
2006
Higher traces on group rings. Zbl 1076.16008
Mikhailov, R.; Passi, Inder Bir S.
2
2005
On the third homotopy group of Orr’s space. Zbl 1383.55010
Dror Farjoun, Emmanuel; Mikhailov, Roman
2
2018
On transfinite nilpotence of the Vogel-Levine localization. Zbl 1341.55003
Mikhailov, Roman
1
2016
On the metastable homotopy of \(\bmod 2\) Moore spaces. Zbl 1354.55005
Mikhailov, Roman; Wu, Jie
1
2016
Links modulo knots and the isotopic realization problem. Zbl 1009.57033
Melikhov, S. A.; Mikhailov, R. V.
1
2001
Transfinite lower central series of groups: parafree properties and topological applications. Zbl 1070.20502
Mikhailov, R. V.
1
2002
A combinatorial approach to the exponents of Moore spaces. Zbl 1414.55006
Cohen, Frederick R.; Mikhailov, Roman; Wu, Jie
1
2018
Intersection of subgroups in free groups and homotopy groups. Zbl 1172.55002
Baues, Hans-Joachim; Mikhailov, Roman
1
2008
Limits over categories of extensions. Zbl 1213.20050
Mikhailov, Roman; Passi, Inder Bir S.
1
2010
Free subalgebras of Lie algebras close to nilpotent. Zbl 1260.17007
Belov, Alexey; Mikhailov, Roman
1
2010
Homology of centralizers. Zbl 1131.16004
Mikhailov, Roman; Passi, Inder Bir S.
1
2007
An example of a fractal finitely generated solvable group. Zbl 1436.20058
Mikhailov, Roman V.
1
2019
On zero-divisors in group rings of groups with torsion. Zbl 1300.20004
Ivanov, S. V.; Mikhailov, Roman
1
2014
Higher colimits, derived functors and homology. Zbl 1425.16007
Ivanov, Sergeĭ O.; Mikhaĭlov, Roman V.; Sosnilo, Vladimir A.
1
2019
Limits, standard complexes and \(\mathbf{fr} \)-codes. Zbl 1456.18002
Ivanov, Sergeĭ O.; Mikhailov, Roman V.; Pavutnitskiy, Fedor Yu.
1
2020
Right exact group completion as a transfinite invariant of homology equivalence. Zbl 1512.57034
Ivanov, Sergei O.; Mikhailov, Roman
3
2021
Homological properties of parafree Lie algebras. Zbl 1479.17013
Ivanov, Sergei O.; Mikhailov, Roman; Zaikovskii, Anatolii
6
2020
Limits, standard complexes and \(\mathbf{fr} \)-codes. Zbl 1456.18002
Ivanov, Sergeĭ O.; Mikhailov, Roman V.; Pavutnitskiy, Fedor Yu.
1
2020
A finite \(\mathbb{Q}\)-bad space. Zbl 1430.55009
Ivanov, Sergei O.; Mikhailov, Roman
9
2019
Dimension quotients, Fox subgroups and limits of functors. Zbl 1454.20005
Mikhailov, Roman; Passi, Inder Bir S.
3
2019
An example of a fractal finitely generated solvable group. Zbl 1436.20058
Mikhailov, Roman V.
1
2019
Higher colimits, derived functors and homology. Zbl 1425.16007
Ivanov, Sergeĭ O.; Mikhaĭlov, Roman V.; Sosnilo, Vladimir A.
1
2019
Free group rings and derived functors. Zbl 1471.20002
Mikhailov, Roman; Passi, Inder Bir S.
4
2018
On discrete homology of a free pro-\(p\)-group. Zbl 1453.20072
Ivanov, Sergei O.; Mikhailov, Roman
4
2018
On lengths of \(H\mathbb{Z}\)-localization towers. Zbl 1498.55011
Ivanov, Sergei O.; Mikhailov, Roman
3
2018
Higher limits, homology theories and \(\mathbf{fr}\)-codes. Zbl 1483.18001
Ivanov, Sergei O.; Mikhailov, Roman
3
2018
On the third homotopy group of Orr’s space. Zbl 1383.55010
Dror Farjoun, Emmanuel; Mikhailov, Roman
2
2018
A combinatorial approach to the exponents of Moore spaces. Zbl 1414.55006
Cohen, Frederick R.; Mikhailov, Roman; Wu, Jie
1
2018
Localization, metabelian groups, and the isomorphism problem. Zbl 1370.20032
Baumslag, Gilbert; Mikhailov, Roman; Orr, Kent E.
4
2017
Homotopy theory and generalized dimension subgroups. Zbl 1395.55016
Ivanov, Sergei O.; Mikhailov, Roman; Wu, Jie
2
2017
On the pure virtual braid group \(PV_3\). Zbl 1344.20048
Bardakov, V. G.; Mikhailov, R.; Vershinin, V. V.; Wu, J.
9
2016
Generalized dimension subgroups and derived functors. Zbl 1343.18002
Mikhailov, Roman; Passi, Inder Bir S.
6
2016
On a problem of Bousfield for metabelian groups. Zbl 1377.20037
Ivanov, Sergei O.; Mikhailov, Roman
6
2016
Derived functors of the divided power functors. Zbl 1354.18017
Breen, Lawrence; Mikhailov, Roman; Touzé, Antoine
5
2016
On nontriviality of certain homotopy groups of spheres. Zbl 1366.55008
Ivanov, Sergei O.; Mikhailov, Roman; Wu, Jie
4
2016
The subgroup determined by a certain ideal in a free group ring. Zbl 1341.20003
Mikhailov, Roman; Passi, Inder Bir S.
2
2016
A one-relator group with long lower central series. Zbl 1336.20039
Mikhailov, Roman
2
2016
On transfinite nilpotence of the Vogel-Levine localization. Zbl 1341.55003
Mikhailov, Roman
1
2016
On the metastable homotopy of \(\bmod 2\) Moore spaces. Zbl 1354.55005
Mikhailov, Roman; Wu, Jie
1
2016
A higher limit approach to homology theories. Zbl 1305.18057
Ivanov, Sergei O.; Mikhailov, Roman
6
2015
Polynomial functors and homotopy theory. Zbl 1338.18040
Mikhailov, Roman
3
2015
Residual properties of groups defined by basic commutators. Zbl 1316.20032
Baumslag, Gilbert; Mikhailov, Roman
3
2014
On zero-divisors in group rings of groups with torsion. Zbl 1300.20004
Ivanov, S. V.; Mikhailov, Roman
1
2014
Combinatorial group theory and the homotopy groups of finite complexes. Zbl 1270.55011
Mikhailov, Roman; Wu, Jie
3
2013
Brunnian braids on surfaces. Zbl 1270.20036
Bardakov, Valery G.; Mikhailov, Roman; Vershinin, Vladimir V.; Wu, Jie
7
2012
A new look at finitely generated metabelian groups. Zbl 1283.20032
Baumslag, Gilbert; Mikhailov, Roman; Orr, Kent E.
6
2012
Derived functors of nonadditive functors and homotopy theory. Zbl 1214.18012
Breen, Lawrence; Mikhailov, Roman
9
2011
Symmetric ideals in group rings and simplicial homotopy. Zbl 1218.20003
Mikhailov, Roman; Passi, Inder Bir S.; Wu, Jie
6
2011
A colimit of classifying spaces. Zbl 1200.55023
Ellis, Graham; Mikhailov, Roman
14
2010
On homotopy groups of the suspended classifying spaces. Zbl 1196.55017
Mikhailov, Roman; Wu, Jie
6
2010
Limits over categories of extensions. Zbl 1213.20050
Mikhailov, Roman; Passi, Inder Bir S.
1
2010
Free subalgebras of Lie algebras close to nilpotent. Zbl 1260.17007
Belov, Alexey; Mikhailov, Roman
1
2010
Lower central and dimension series of groups. Zbl 1157.20002
Mikhailov, Roman; Passi, Inder Bir Singh
32
2009
A limit approach to group homology. Zbl 1149.20042
Emmanouil, Ioannis; Mikhailov, Roman
7
2008
On certain questions of the free group automorphisms theory. Zbl 1147.20032
Bardakov, Valery G.; Mikhailov, Roman
3
2008
Intersection of subgroups in free groups and homotopy groups. Zbl 1172.55002
Baues, Hans-Joachim; Mikhailov, Roman
1
2008
On the residual properties of link groups. Zbl 1164.57002
Bardakov, V. G.; Mikhajlov, R. V.
6
2007
Dimension quotients. Zbl 1184.20004
Hartl, M.; Mikhailov, R.; Passi, I. B. S.
5
2007
Homology of centralizers. Zbl 1131.16004
Mikhailov, Roman; Passi, Inder Bir S.
1
2007
Faithfulness of certain modules and residual nilpotence of groups. Zbl 1144.20003
Mikhailov, Roman; Passi, Inder Bir S.
4
2006
On residual nilpotence of projective crossed modules. Zbl 1089.57004
Mikhailov, Roman
3
2006
Faithful group actions and aspherical complexes. Zbl 1351.20029
Mikhailov, R. V.
2
2006
Residual nilpotence and residual solubility of groups. Zbl 1138.20032
Mikhaĭlov, R. V.
4
2005
Higher traces on group rings. Zbl 1076.16008
Mikhailov, R.; Passi, Inder Bir S.
2
2005
Augmentation powers and group homology. Zbl 1059.16017
Mikhailov, Roman; Passi, Inder Bir S.
4
2004
Transfinite lower central series of groups: parafree properties and topological applications. Zbl 1070.20502
Mikhailov, R. V.
1
2002
Links modulo knots and the isotopic realization problem. Zbl 1009.57033
Melikhov, S. A.; Mikhailov, R. V.
1
2001
all top 5

Cited by 103 Authors

37 Mikhaĭlov, Roman Valer’evich
18 Ivanov, Sergei Olegovich
14 Passi, Inder Bir Singh
14 Wu, Jie
13 Bardakov, Valeriĭ Georgievich
6 Neshchadim, Mikhail Vladimirovich
5 Touzé, Antoine
4 Vershinin, Vladimir V.
3 Baumslag, Gilbert
3 Félix, Yves
3 Kozlovskaya, Tatyana Anatolevna
3 Orr, Kent E.
3 Pavutnitskiy, Fedor Yu.
3 Roman’kov, Vitaliĭ Anatol’evich
3 Suciu, Alexander I.
2 Aladova, Elena V.
2 Bartholdi, Laurent
2 Bryukhanov, Oleg V.
2 Li, Jingyan
2 Militaru, Gigel
2 Murillo-Mas, Aniceto
2 Nasybullov, Timur Rinatovich
2 Romero, Ana
2 Wang, He
2 Zaikovskii, Anatolii
1 Agore, Ana-Loredana
1 Akhtiamov, Danil
1 An, Byung Hee
1 Araskhan, Mehdi
1 Basok, Mikhail
1 Bellingeri, Paolo
1 Birman, Joan S.
1 Breen, Lawrence S.
1 Brown, Ronald
1 Cha, Jae Choon
1 Darné, Jacques
1 Davighi, Joe
1 de Mendonça, Luis Augusto
1 Debray, Arun
1 Drummond-Cole, Gabriel C.
1 Duzhin, Fedor S.
1 Ellis, Graham J.
1 Emelyanenkov, Ivan Aleksandrovich
1 Emmanouil, Ioannis
1 Erschler, Anna
1 Fang, Fuquan
1 Frigerio, Roberto
1 Gao, Man
1 Gonçalves, Daciberg Lima
1 Grigoryan, Artur
1 Grishkov, Alexander Nikolaevich
1 Gromov, Mikhael Leonidovich
1 Gupta, Shalini
1 Halperin, Stephen
1 Hartl, Manfred
1 Heidari, Mahin
1 Huang, Ruizhi
1 Ivanov, Maxim E.
1 Kanel’-Belov, Alekseĭ Yakovlevich
1 Karpuz, Eylem Güzel
1 Knudsen, Ben
1 Kumar, Pravin
1 Lei, Fengchun
1 Loh, Sher En Jessica
1 Lohitsiri, Nakarin
1 Lopatkin, Viktor
1 Maheshwary, Sugandha
1 Melikhov, Sergey Aleksandrovich
1 Mikhalchishina, Yuliya A.
1 Millionshchikov, Dmitriĭ Vladimirovich
1 Mirzaii, Behrooz
1 Mishchenko, Aleksandr Sergeevich
1 Mokari, Fatemeh Yeganeh
1 Monnier, Samuel
1 Moore, Gregory Winthrop
1 Moraschini, Marco
1 Mostovoy, Jacob
1 Nanda, Neha
1 Nekritsuhin, A. I.
1 Ordinola, D. C.
1 O’Sullivan, Niamh
1 Özalan, Nurten Urlu
1 Papistas, Athanassios I.
1 Paris, Luis
1 Pérez-Izquierdo, José María
1 Plaumann, Peter
1 Plotkin, Boris
1 Rismanchian, Mohammad Reza
1 Romanovskii, Vladislav
1 Rubio García, Julio Jesús
1 Sabinina, Liudmila L.
1 Sergeraert, Francis
1 Sgobbi, Wagner C.
1 Shestakov, Ivan Pavlovich
1 Silva, Dalton C.
1 Singh, Mahender
1 Sokolov, Evgeny Viktorovich
1 Sosnilo, Vladimir Aleksandrovich
1 Soylu Yilmaz, Elis
1 Vendrúscolo, Daniel
...and 3 more Authors
all top 5

Cited in 58 Serials

9 Journal of Algebra
9 Journal of Pure and Applied Algebra
5 Communications in Algebra
5 International Journal of Algebra and Computation
5 Journal of Knot Theory and its Ramifications
5 Proceedings of the Steklov Institute of Mathematics
4 Israel Journal of Mathematics
4 Journal of Group Theory
4 Algebraic & Geometric Topology
3 Siberian Mathematical Journal
2 Indian Journal of Pure & Applied Mathematics
2 Advances in Mathematics
2 Algebra and Logic
2 Annales de l’Institut Fourier
2 Mathematische Zeitschrift
2 Proceedings of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 Topology and its Applications
2 Sbornik: Mathematics
2 Geometry & Topology
2 Acta Mathematica Sinica. English Series
2 Groups, Geometry, and Dynamics
2 EMS Surveys in Mathematical Sciences
1 Communications in Mathematical Physics
1 Mathematics of Computation
1 Compositio Mathematica
1 Fundamenta Mathematicae
1 Illinois Journal of Mathematics
1 Journal of the Mathematical Society of Japan
1 Memoirs of the American Mathematical Society
1 Quaestiones Mathematicae
1 Advances in Applied Mathematics
1 Forum Mathematicum
1 IMRN. International Mathematics Research Notices
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Mathematical Sciences (New York)
1 Turkish Journal of Mathematics
1 The New York Journal of Mathematics
1 Izvestiya: Mathematics
1 Documenta Mathematica
1 Journal of the European Mathematical Society (JEMS)
1 Journal of High Energy Physics
1 Foundations of Computational Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Chebyshevskiĭ Sbornik
1 Journal of Homotopy and Related Structures
1 Journal of Topology
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
1 Journal of Siberian Federal University. Mathematics & Physics
1 Prikladnaya Diskretnaya Matematika
1 Advanced Studies: Euro-Tbilisi Mathematical Journal

Citations by Year

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