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Mikhailov, Roman Valer'evich

Total publications: 50 (50)
in MathSciNet: 42 (42)
in zbMATH: 37 (37)
in Web of Science: 39 (39)
in Scopus: 39 (39)
Cited articles: 36
Citations in Math-Net.Ru: 31
Citations in Web of Science: 105
Citations in Scopus: 126
Presentations: 24

Number of views:
This page:16277
Abstract pages:4014
Full texts:1505
References:415
Doctor of physico-mathematical sciences (2010)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Phone: +7(812) 363 68 71, +7(812) 363 68 72, +7 (812) 312 40 58
E-mail:
Website: http://www.mi.ras.ru/~romanvm
Keywords: homotopy groups of spheres, simplicial groups, K-functors.
UDC: 512.162, 512.543, 512.544, 512.547, 512.664.4, 515.145, 515.146, 515.162.8

Subject:

Homotopy theory, homological algebra, homotopical algebra, group theory.

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

http://www.mathnet.ru/eng/person9204
http://scholar.google.com/citations?user=rRrAqIEAAAAJ&hl=en
http://zbmath.org/authors/?q=ai:mikhailov.roman|mikhailov.r-v|mikhajlov.r-v
https://mathscinet.ams.org/mathscinet/MRAuthorID/684752
http://elibrary.ru/author_items.asp?authorid=122971

Full list of publications:
| by years | by types | by times cited in WoS | by times cited in Scopus | scientific publications | common list |



   2019
1. S. O. Ivanov, R. V. Mikhailov, V. A. Sosnilo, “Higher colimits, derived functors and homology”, Sb. Math., 210:9 (2019), 1222–1258  mathnet  crossref  crossref  crossref
2. R. V. Mikhailov, “An example of a fractal finitely generated solvable group”, Algebra, number theory, and algebraic geometry, Collected papers. Dedicated to the memory of Academician Igor Rostislavovich Shafarevich, Tr. Mat. Inst. Steklova, 307, Steklov Mathematical Institute of RAS, Moscow, 2019 (to appear)  mathnet  crossref

   2016
3. Roman Mikhailov, Inder Bir S. Passi, “Generalized dimension subgroups and derived functors”, J. Pure Appl. Algebra, 220:6 (2016), 2143–2163  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
4. Sergei O. Ivanov, Roman Mikhailov, “On a problem of Bousfield for metabelian groups”, Adv. Math., 290 (2016), 552–589  mathnet  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 4)
5. 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  mathnet  crossref  mathscinet  isi (cited: 6)  scopus (cited: 7)
6. Roman Mikhailov, “On transfinite nilpotence of the Vogel–Levine localization”, Forum Math., 28:2 (2016), 333–338  mathnet  crossref  mathscinet  isi (cited: 1)  scopus (cited: 1)
7. Roman Mikhailov, “A one-relator group with long lower central series”, Forum Math., 28:2 (2016), 327–331  mathnet  crossref  mathscinet  isi (cited: 1)  scopus (cited: 1)
8. Roman Mikhailov, Inder Bir S. Passi, “The subgroup determined by a certain ideal in a free group ring”, J. Algebra, 449 (2016), 400–407  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 1)
9. Roman Mikhailov, Jie Wu, “On the metastable homotopy of mod 2 Moore spaces”, Algebr. Geom. Topol., 16:3 (2016), 1773–1797  mathnet  crossref  mathscinet  zmath  isi  scopus

   2015
10. S. O. Ivanov, R. Mikhailov, “A higher limit approach to homology theories”, J. Pure Appl. Algebra, 219:6 (2015), 1915–1939  mathnet (cited: 1)  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 1)  scopus (cited: 4)
11. R. Mikhailov, K. E. Orr, “Group localization and two problems of Levine”, Math. Z., 280:1 (2015), 355–366  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

   2014
12. 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  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)
13. G. Baumslag, R. Mikhailov, “Residual properties of groups defined by basic commutators”, Groups Geom. Dyn., 8:3 (2014), 621–642  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
14. R. Mikhailov, “Homotopical and Combinatorial Aspects of the Theory of Normal Series in Groups”, Proc. Steklov Inst. Math., 286, suppl. 1 (2014), S1–S135  mathnet  mathnet  crossref  crossref  crossref  isi  elib  scopus

   2013
15. R. Mikhailov, J. Wu, “Combinatorial group theory and the homotopy groups of finite complexes”, Geom. Topol., 17:1 (2013), 235–272 , arXiv: 1108.3055  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)
16. J. Wu, R. V. Mikhailov, “Homotopy groups as centres of finitely presented groups”, Izv. Math., 77:3 (2013), 581–593  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2012
17. 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  mathnet  crossref  mathscinet  zmath
18. V. Bardakov, R. Mikhailov, J. Wu, V. Vershinin, “Brunnian braids on surfaces”, Alg. Geom. Top., 12 (2012), 1607–1648 , arXiv: 0909.3387  mathnet  crossref  mathscinet  zmath  isi (cited: 9)  elib (cited: 6)  scopus (cited: 10)
19. R. Mikhailov, On the splitting of polynomial functors, 2012 , arXiv: 1202.0586

   2011
20. L. Breen, R. Mikhailov, “Derived functors of nonadditive functors and homotopy theory”, Algebr. Geom. Topol., 11:1 (2011), 327–415  crossref  mathscinet  zmath  isi (cited: 6)  elib (cited: 4)  scopus (cited: 7)
21. 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  crossref  mathscinet  zmath  isi (cited: 5)  elib (cited: 6)  scopus (cited: 5)
22. R. Mikhailov, J. Wu, A combinatorial description of homotopy groups of spheres, 2011 , 27 pp., arXiv: 1108.3055

   2010
23. A. Belov, R. Mikhailov, “Free subalgebras of Lie algebras close to nilpotent”, Groups Geom. Dyn., 4:1 (2010), 15–29  crossref  mathscinet  zmath  isi  elib  scopus
24. R. Mikhailov, J. Wu, “On homotopy groups of the suspended classifying spaces”, Algebr. Geom. Topol., 10:1 (2010), 565–625  crossref  mathscinet  zmath  isi (cited: 9)  elib (cited: 8)  scopus (cited: 10)
25. R. Mikhailov, I. B. S. Passi, “Limits over categories of extensions”, Indian J. Pure Appl. Math., 41:1 (2010), 113–131  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 1)  scopus (cited: 3)
26. G. Ellis, R. Mikhailov, “A colimit of classifying spaces”, Adv. Math., 223:6 (2010), 2097–2113  crossref  mathscinet  zmath  isi (cited: 11)  elib (cited: 9)  scopus (cited: 10)
27. R. Mikhailov, On the homology of the dual de Rham complex, 2010 , 11 pp., arXiv: 1001.2824

   2009
28. 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  mathscinet  zmath  isi  elib  scopus
29. 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.  crossref  mathscinet  zmath  isi
30. V. Bardakov, R. Mikhailov, V. Vershinin, J. Wu, On the pure virtual braid group $PV_3$, 2009 , 19 pp., arXiv: 0906.1743

   2008
31. H.-J. Baues, R. Mikhailov, “Intersection of subgroups in free groups and homotopy groups”, Internat. J. Algebra Comput., 18:5 (2008), 803–823  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)  scopus (cited: 3)
32. V. G. Bardakov, R. Mikhailov, “On certain questions of the free group automorphisms theory”, Comm. Algebra, 36:4 (2008), 1489–1499  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 1)  scopus (cited: 4)
33. I. Emmanouil, R. Mikhailov, “A limit approach to group homology”, J. Algebra, 319:4 (2008), 1450–1461  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 5)  scopus (cited: 8)
34. 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  mathscinet
35. R. Mikhailov, I. B. S. Passi, “Residually nilpotent groups”, L'Enseignement Mathematique, 54 (2008), 145–146

   2007
36. R. Mikhailov, I. B. S. Passi, “Homology of centralizers”, Comm. Algebra, 35:7 (2007), 2191–2207  crossref  mathscinet  zmath  isi  elib  scopus
37. R. V. Mikhailov, “Baer invariants and residual nilpotence of groups”, Izv. Math., 71:2 (2007), 371–390  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
38. R. V. Mikhailov, “Asphericity and approximation properties of crossed modules”, Sb. Math., 198:4 (2007), 521–535  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
39. V. G. Bardakov, R. V. Mikhailov, “On the residual properties of link groups”, Siberian Math. J., 48:3 (2007), 387–394  mathnet  crossref  mathscinet  zmath  isi (cited: 6)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 7)

   2006
40. R. Mikhailov, I. B. S. Passi, “Faithfulness of certain modules and residual nilpotence of groups”, Internat. J. Algebra Comput., 16:3 (2006), 525–539  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 4)  scopus (cited: 6)
41. R. Mikhailov, I. B. S. Passi, “The quasi-variety of groups with trivial fourth dimension subgroup”, J. Group Theory, 9:3 (2006), 369–381  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)  scopus (cited: 3)
42. R. Mikhailov, “On residual nilpotence of projective crossed modules”, Comm. Algebra, 34:4 (2006), 1451–1458  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 6)  scopus (cited: 7)
43. R. V. Mikhailov, “Faithful Group Actions and Aspherical Complexes”, Proc. Steklov Inst. Math., 252 (2006), 172–181  mathnet  crossref  mathscinet  elib (cited: 1)  scopus (cited: 1)

   2005
44. R. Mikhailov, I. B. S. Passi, “A transfinite filtration of Schur multiplicator”, Internat. J. Algebra Comput., 15:5-6 (2005), 1061–1073  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  scopus (cited: 2)
45. R. Mikhailov, I. B. S. Passi, “Higher traces on group rings”, Comm. Algebra, 33:4 (2005), 987–997  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 3)  scopus (cited: 3)
46. R. V. Mikhailov, “Residual nilpotence and residual solubility of groups”, Sb. Math., 196:11 (2005), 1659–1675  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 7)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 5)

   2004
47. R. Mikhailov, I. B. S. Passi, “Augmentation powers and group homology”, J. Pure Appl. Algebra, 192:1-3 (2004), 225–238  crossref  mathscinet  zmath  isi (cited: 6)  elib (cited: 7)  scopus (cited: 7)

   2002
48. R. V. Mikhailov, “On invisible subgroups”, Russian Math. Surveys, 57:6 (2002), 1232–1233  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
49. R. V. Mikhailov, “Transfinite Lower Central Series of Groups: Parafree Properties and Topological Applications”, Proc. Steklov Inst. Math., 239 (2002), 236–252  mathnet  mathscinet  zmath

   2001
50. S. A. Melikhov, R. V. Mikhailov, “Links modulo knots and the isotopic realization problem”, Russian Math. Surveys, 56:2 (2001), 414–415  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  scopus (cited: 1)

Presentations in Math-Net.Ru
1. Гомотопические группы сфер и алгебра
R. V. Mikhailov
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (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
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (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 of the Department of Algebra
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 of the Department of Algebra
May 13, 2008 15:00
15. Гомотопические типы нильпотентных симплициальных групп
R. V. Mikhailov
Seminar of the Department of Algebra
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 of the Department of Algebra
April 17, 2007 15:00
18. Пересечение подгрупп в свободных группах и теория гомотопий
R. V. Mikhailov
Seminar of the Department of Algebra
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 of the Department of Algebra
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 of the Department of Algebra
October 19, 2004

Books in Math-Net.Ru
  1. 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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