Persons: Mikhailov, Roman Valerevich

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Mikhailov, Roman Valerevich

Total publications:	51 (51)
in MathSciNet:	46 (46)
in zbMATH:	38 (38)
in Web of Science:	42 (42)
in Scopus:	42 (42)
Cited articles:	32
Citations:	144
Presentations:	24

Number of views:
This page:	23475
Abstract pages:	9022
Full texts:	3784
References:	692

Head Scientist Researcher

Doctor of physico-mathematical sciences (2010)

Speciality:

01.01.06 (Mathematical logic, algebra, and number theory)

Website:

http://chebyshev.spbu.ru/people/mihajlov-roman-valerevich/

Main publications:

Roman Mikhailov and Inder Bir S. Passi, “The quasivariety of groups with the trivial forth dimension subgroup”, J. Group Theory, 9 (2006), 369–381
Roman Mikhailov and Inder Bir S. Passi, Lower central and dimension series of groups, Lecture Notes in Mathematics, 1952, Springer, 2009
Roman Mikhailov and Inder Bir S. Passi, “Augmentation powers and group homology”, Journal of Pure Appl. Algebra, 192 (2004), 225–238
Ioannis Emmanouil and Roman Mikhailov, “A limit approach to group homology”, Journal of Algebra, 319 (2008), 1450–1461
Graham Ellis and Roman Mikhailov, “A colimit of classifying spaces,”, Advances in Math., 223 (2010), 2097-2113; arXiv: 0804.3581

https://www.mathnet.ru/eng/person9204

https://ru.wikipedia.org/wiki/Mikhailov,_Roman_Valerevich

https://scholar.google.com/citations?user=rRrAqIEAAAAJ&hl=en

https://zbmath.org/authors/?q=ai:mikhailov.roman|mikhailov.r-v|mikhajlov.r-v

https://mathscinet.ams.org/mathscinet/MRAuthorID/684752

https://elibrary.ru/author_items.asp?authorid=122971

Full list of publications:

scientific publications

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	S. O. Ivanov, R. V. Mikhailov, F. Yu. Pavutnitskiy, “Limits, standard complexes and $\mathbf{fr}$-codes”, Sb. Math., 211:11 (2020), 1568–1591
2.	S. O. Ivanov, R. V. Mikhailov, V. A. Sosnilo, “Higher colimits, derived functors and homology”, Sb. Math., 210:9 (2019), 1222–1258
3.	Roman V. Mikhailov, “An Example of a Fractal Finitely Generated Solvable Group”, Proc. Steklov Inst. Math., 307 (2019), 125–129
4.	Roman Mikhailov, Inder Bir S. Passi, “Generalized dimension subgroups and derived functors”, J. Pure Appl. Algebra, 220:6 (2016), 2143–2163	4 ^[x]
5.	Sergei O. Ivanov, Roman Mikhailov, “On a problem of Bousfield for metabelian groups”, Adv. Math., 290 (2016), 552–589	6 ^[x]
6.	V. G. Bardakov, R. Mikhailov, V. V. Vershinin, J. Wu, “On the pure virtual braid group $PV_3$”, Comm. Algebra, 44:3 (2016), 1350–1378	9 ^[x]
7.	Roman Mikhailov, “On transfinite nilpotence of the Vogel–Levine localization”, Forum Math., 28:2 (2016), 333–338
8.	Roman Mikhailov, “A one-relator group with long lower central series”, Forum Math., 28:2 (2016), 327–331	2 ^[x]
9.	Roman Mikhailov, Inder Bir S. Passi, “The subgroup determined by a certain ideal in a free group ring”, J. Algebra, 449 (2016), 400–407	1 ^[x]
10.	Roman Mikhailov, Jie Wu, “On the metastable homotopy of mod 2 Moore spaces”, Algebr. Geom. Topol., 16:3 (2016), 1773–1797	1 ^[x]
11.	S. O. Ivanov, R. Mikhailov, “A higher limit approach to homology theories”, J. Pure Appl. Algebra, 219:6 (2015), 1915–1939	4 ^[x]
12.	R. Mikhailov, K. E. Orr, “Group localization and two problems of Levine”, Math. Z., 280:1 (2015), 355–366
13.	S. V. Ivanov, R. Mikhailov, “On zero-divisors in group rings of groups with torsion”, Canad. Math. Bull., 57:2 (2014), 326–334 , arXiv: 1209.1443
14.	G. Baumslag, R. Mikhailov, “Residual properties of groups defined by basic commutators”, Groups Geom. Dyn., 8:3 (2014), 621–642	1 ^[x]
15.	R. Mikhailov, “Homotopical and Combinatorial Aspects of the Theory of Normal Series in Groups”, Proc. Steklov Inst. Math., 286, suppl. 1 (2014), S1–S135
16.	R. Mikhailov, J. Wu, “Combinatorial group theory and the homotopy groups of finite complexes”, Geom. Topol., 17:1 (2013), 235–272 , arXiv: 1108.3055	1 ^[x]
17.	J. Wu, R. V. Mikhailov, “Homotopy groups as centres of finitely presented groups”, Izv. Math., 77:3 (2013), 581–593
18.	G. Baumslag, R. Mikhailov, K. E. Orr, “A new look at finitely generated metabelian groups”, Combinatorial and computational group theory with cryptography, Contemp. Math., 582, Amer. Math. Soc., Providence, RI, 2012, 21–37 , arXiv: 1203.5431	9 ^[x]
19.	V. Bardakov, R. Mikhailov, J. Wu, V. Vershinin, “Brunnian braids on surfaces”, Alg. Geom. Top., 12 (2012), 1607–1648 , arXiv: 0909.3387	6 ^[x]
20.	R. Mikhailov, On the splitting of polynomial functors, 2012 , arXiv: 1202.0586
21.	L. Breen, R. Mikhailov, “Derived functors of nonadditive functors and homotopy theory”, Algebr. Geom. Topol., 11:1 (2011), 327–415	7 ^[x]
22.	R. Mikhailov, I. B. S. Passi, J. Wu, “Symmetric ideals in group rings and simplicial homotopy”, J. Pure Appl. Algebra, 215:5 (2011), 1085–1092	8 ^[x]
23.	R. Mikhailov, J. Wu, A combinatorial description of homotopy groups of spheres, 2011 , 27 pp., arXiv: 1108.3055
24.	A. Belov, R. Mikhailov, “Free subalgebras of Lie algebras close to nilpotent”, Groups Geom. Dyn., 4:1 (2010), 15–29
25.	R. Mikhailov, J. Wu, “On homotopy groups of the suspended classifying spaces”, Algebr. Geom. Topol., 10:1 (2010), 565–625	8 ^[x]
26.	R. Mikhailov, I. B. S. Passi, “Limits over categories of extensions”, Indian J. Pure Appl. Math., 41:1 (2010), 113–131	1 ^[x]
27.	G. Ellis, R. Mikhailov, “A colimit of classifying spaces”, Adv. Math., 223:6 (2010), 2097–2113	11 ^[x]
28.	R. Mikhailov, On the homology of the dual de Rham complex, 2010 , 11 pp., arXiv: 1001.2824
29.	H.-J. Baues, R. Mikhailov, “Homotopy types of reduced 2-nilpotent simplicial groups”, Indian J. Pure Appl. Math., 40:1 (2009), 35–80 , arXiv: 0804.2000
30.	R. Mikhailov, I. B. S. Passi, Lower central and dimension series of groups, Lecture Notes in Math., 1952, Springer-Verlag, Berlin, 2009 , xxii+346 pp.	2 ^[x]
31.	V. Bardakov, R. Mikhailov, V. Vershinin, J. Wu, On the pure virtual braid group $PV_3$, 2009 , 19 pp., arXiv: 0906.1743
32.	H.-J. Baues, R. Mikhailov, “Intersection of subgroups in free groups and homotopy groups”, Internat. J. Algebra Comput., 18:5 (2008), 803–823	1 ^[x]
33.	V. G. Bardakov, R. Mikhailov, “On certain questions of the free group automorphisms theory”, Comm. Algebra, 36:4 (2008), 1489–1499	4 ^[x]
34.	I. Emmanouil, R. Mikhailov, “A limit approach to group homology”, J. Algebra, 319:4 (2008), 1450–1461	5 ^[x]
35.	M. Hartl, R. Mikhailov, I. B. S. Passi, “Dimension quotients”, J. Indian Math. Soc. (N.S.), 2007, Special volume on the occasion of the centenary year of IMS (1907–2007) (2008), 63–107 , arXiv: 0803.3290
36.	R. Mikhailov, I. B. S. Passi, “Residually nilpotent groups”, L'Enseignement Mathematique, 54 (2008), 145–146
37.	R. Mikhailov, I. B. S. Passi, “Homology of centralizers”, Comm. Algebra, 35:7 (2007), 2191–2207
38.	R. V. Mikhailov, “Baer invariants and residual nilpotence of groups”, Izv. Math., 71:2 (2007), 371–390
39.	R. V. Mikhailov, “Asphericity and approximation properties of crossed modules”, Sb. Math., 198:4 (2007), 521–535
40.	V. G. Bardakov, R. V. Mikhailov, “On the residual properties of link groups”, Siberian Math. J., 48:3 (2007), 387–394
41.	R. Mikhailov, I. B. S. Passi, “Faithfulness of certain modules and residual nilpotence of groups”, Internat. J. Algebra Comput., 16:3 (2006), 525–539	5 ^[x]
42.	R. Mikhailov, I. B. S. Passi, “The quasi-variety of groups with trivial fourth dimension subgroup”, J. Group Theory, 9:3 (2006), 369–381
43.	R. Mikhailov, “On residual nilpotence of projective crossed modules”, Comm. Algebra, 34:4 (2006), 1451–1458	5 ^[x]
44.	R. V. Mikhailov, “Faithful Group Actions and Aspherical Complexes”, Proc. Steklov Inst. Math., 252 (2006), 172–181
45.	R. Mikhailov, I. B. S. Passi, “A transfinite filtration of Schur multiplicator”, Internat. J. Algebra Comput., 15:5-6 (2005), 1061–1073
46.	R. Mikhailov, I. B. S. Passi, “Higher traces on group rings”, Comm. Algebra, 33:4 (2005), 987–997	2 ^[x]
47.	R. V. Mikhailov, “Residual nilpotence and residual solubility of groups”, Sb. Math., 196:11 (2005), 1659–1675
48.	R. Mikhailov, I. B. S. Passi, “Augmentation powers and group homology”, J. Pure Appl. Algebra, 192:1-3 (2004), 225–238	6 ^[x]
49.	R. V. Mikhailov, “On invisible subgroups”, Russian Math. Surveys, 57:6 (2002), 1232–1233
50.	R. V. Mikhailov, “Transfinite Lower Central Series of Groups: Parafree Properties and Topological Applications”, Proc. Steklov Inst. Math., 239 (2002), 236–252
51.	S. A. Melikhov, R. V. Mikhailov, “Links modulo knots and the isotopic realization problem”, Russian Math. Surveys, 56:2 (2001), 414–415

Presentations in Math-Net.Ru

1.	Гомотопические группы сфер и алгебра R. V. Mikhailov Shafarevich Seminar September 24, 2019 15:00
2.	Решение проблемы Боусфилда R. Mikhailov One-day conference dedicated to the memory of Vladimir A. Voevodsky December 28, 2017 16:30
3.	Жизнь за омегой R. V. Mikhailov Matsbornik-150: algebra, geometry, analysis November 7, 2016 16:20
4.	fr-конструкторы в гомологической алгебре II R. V. Mikhailov Summer mathematical school "Algebra and Geometry", 2015 July 30, 2015 11:30
5.	fr-конструкторы в гомологической алгебре I R. V. Mikhailov Summer mathematical school "Algebra and Geometry", 2015 July 29, 2015 11:30
6.	Localization, completions and metabelian groups R. V. Mikhailov International conference "Arithmetic as Geometry: Parshin Fest" November 29, 2012 12:30
7.	Гомотопические группы сфер, функторы и косы R. V. Mikhailov Shafarevich Seminar October 2, 2012 15:00
8.	Functorial and predatory spectral sequences R. V. Mikhailov Seminar on Arithmetic Algebraic Geometry May 30, 2012 12:00
9.	On the intersection of conjugate subgroups of finite index R. V. Mikhailov General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences May 13, 2010 14:00
10.	Derived functors in unstable homotopy theory R. V. Mikhailov International conference "ALGEBRAIC GEOMETRY: Methods, Relations, and Applications" dedicated to the 70th birthday anniversary of Andrei Nikolaevich Tyurin February 25, 2010 11:45
11.	Некоторые трюки в классической теории гомотопий и К-теории R. V. Mikhailov Seminar by Algebra Department September 15, 2009 15:00
12.	Картинки в К-теории R. V. Mikhailov Seminar on Geometry of Algebraic Varieties February 16, 2009 14:00
13.	Derived functors in the sense of Dold and Puppe R. V. Mikhailov The second annual conference-meeting MIAN–POMI "Algebra and Algebraic Geometry" December 26, 2008 12:00
14.	Описание некоторых гомотопических групп пространств Мура как функторов в категории абелевых групп R. Mikhailov Seminar by Algebra Department May 13, 2008 15:00
15.	Гомотопические типы нильпотентных симплициальных групп R. V. Mikhailov Seminar by Algebra Department November 20, 2007 15:00
16.	Алгебраические аспекты теории гомотопических групп сфер R. V. Mikhailov Seminar on Arithmetic Algebraic Geometry April 24, 2007 11:30
17.	Нижние центральные и размерные ряды в группах R. V. Mikhailov Seminar by Algebra Department April 17, 2007 15:00
18.	Пересечение подгрупп в свободных группах и теория гомотопий R. V. Mikhailov Seminar by Algebra Department February 6, 2007 15:00
19.	О взаимоотношениях теории групп и гомотопической топологии R. V. Mikhailov Meetings of the Moscow Mathematical Society October 24, 2006
20.	Зацепления и простые числа (продолжение) R. V. Mikhailov Seminar on Arithmetic Algebraic Geometry December 14, 2005
21.	Зацепления и простые числа R. V. Mikhailov Seminar on Arithmetic Algebraic Geometry December 7, 2005
22.	Асферичность и алгебраические модели гомотопических 2-типов R. V. Mikhailov Seminar by Algebra Department December 6, 2005
23.	От конкордантности зацеплений к теории «диких» групп и производных функторов R. V. Mikhailov A. Bondal Seminar May 14, 2005
24.	Faithful modules and aspherical complexes R. V. Mikhailov Seminar by Algebra Department October 19, 2004

Books in Math-Net.Ru

R. V. Mikhailov, Homotopical and Combinatorial Aspects of the Theory of Normal Series in Groups, Sovrem. Probl. Mat., 18, 2014, 146 с.
http://mi.mathnet.ru/book1512

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