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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:23741
Abstract pages:9502
Full texts:3978
References:793
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:
  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

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/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 | by years | by types | by times cited | common list |


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

   2020
1. S. O. Ivanov, R. V. Mikhailov, F. Yu. Pavutnitskiy, “Limits, standard complexes and $\mathbf{fr}$-codes”, Sb. Math., 211:11 (2020), 1568–1591  mathnet  crossref  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus

   2019
2. 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  mathscinet  zmath  adsnasa  isi  elib  scopus
3. Roman V. Mikhailov, “An Example of a Fractal Finitely Generated Solvable Group”, Proc. Steklov Inst. Math., 307 (2019), 125–129  mathnet  crossref  crossref  mathscinet  mathscinet  isi  elib  scopus

   2016
4. 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  scopus 4
5. Sergei O. Ivanov, Roman Mikhailov, “On a problem of Bousfield for metabelian groups”, Adv. Math., 290 (2016), 552–589  mathnet  crossref  mathscinet  zmath  isi  scopus 6
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  mathnet  crossref  mathscinet  isi  elib  scopus 9
7. Roman Mikhailov, “On transfinite nilpotence of the Vogel–Levine localization”, Forum Math., 28:2 (2016), 333–338  mathnet  crossref  mathscinet  isi  scopus
8. Roman Mikhailov, “A one-relator group with long lower central series”, Forum Math., 28:2 (2016), 327–331  mathnet  crossref  mathscinet  isi  scopus 2
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  mathnet  crossref  mathscinet  zmath  isi  elib  scopus 1
10. 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 1

   2015
11. S. O. Ivanov, R. Mikhailov, “A higher limit approach to homology theories”, J. Pure Appl. Algebra, 219:6 (2015), 1915–1939  mathnet  crossref  mathscinet  zmath  isi  elib  scopus 4
12. 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
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  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
14. 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 1
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  mathnet  mathnet  crossref  crossref  crossref  isi  elib  scopus

   2013
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  mathnet  crossref  mathscinet  zmath  isi  elib  scopus 1
17. 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
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  mathnet  crossref  mathscinet  zmath 9
19. 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  elib  scopus 6
20. R. Mikhailov, On the splitting of polynomial functors, 2012 , arXiv: 1202.0586

   2011
21. L. Breen, R. Mikhailov, “Derived functors of nonadditive functors and homotopy theory”, Algebr. Geom. Topol., 11:1 (2011), 327–415  crossref  mathscinet  zmath  isi  elib  scopus 7
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  crossref  mathscinet  zmath  isi  elib  scopus 8
23. R. Mikhailov, J. Wu, A combinatorial description of homotopy groups of spheres, 2011 , 27 pp., arXiv: 1108.3055

   2010
24. 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
25. R. Mikhailov, J. Wu, “On homotopy groups of the suspended classifying spaces”, Algebr. Geom. Topol., 10:1 (2010), 565–625  crossref  mathscinet  zmath  isi  elib  scopus 8
26. 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  elib  scopus 1
27. G. Ellis, R. Mikhailov, “A colimit of classifying spaces”, Adv. Math., 223:6 (2010), 2097–2113  crossref  mathscinet  zmath  isi  elib  scopus 11
28. R. Mikhailov, On the homology of the dual de Rham complex, 2010 , 11 pp., arXiv: 1001.2824

   2009
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  mathscinet  zmath  isi  elib  scopus
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.  crossref  mathscinet  zmath  isi 2
31. V. Bardakov, R. Mikhailov, V. Vershinin, J. Wu, On the pure virtual braid group $PV_3$, 2009 , 19 pp., arXiv: 0906.1743

   2008
32. 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  elib  scopus 1
33. 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  elib  scopus 4
34. I. Emmanouil, R. Mikhailov, “A limit approach to group homology”, J. Algebra, 319:4 (2008), 1450–1461  crossref  mathscinet  zmath  isi  elib  scopus 5
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  mathscinet
36. R. Mikhailov, I. B. S. Passi, “Residually nilpotent groups”, L'Enseignement Mathematique, 54 (2008), 145–146

   2007
37. R. Mikhailov, I. B. S. Passi, “Homology of centralizers”, Comm. Algebra, 35:7 (2007), 2191–2207  crossref  mathscinet  zmath  isi  elib  scopus
38. R. V. Mikhailov, “Baer invariants and residual nilpotence of groups”, Izv. Math., 71:2 (2007), 371–390  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
39. 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
40. 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  elib  elib  scopus

   2006
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  crossref  mathscinet  zmath  isi  elib  scopus 5
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  crossref  mathscinet  zmath  isi  elib  scopus
43. R. Mikhailov, “On residual nilpotence of projective crossed modules”, Comm. Algebra, 34:4 (2006), 1451–1458  crossref  mathscinet  zmath  isi  elib  scopus 5
44. R. V. Mikhailov, “Faithful Group Actions and Aspherical Complexes”, Proc. Steklov Inst. Math., 252 (2006), 172–181  mathnet  crossref  mathscinet  elib  scopus

   2005
45. 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  elib  scopus
46. R. Mikhailov, I. B. S. Passi, “Higher traces on group rings”, Comm. Algebra, 33:4 (2005), 987–997  crossref  mathscinet  zmath  isi  elib  scopus 2
47. R. V. Mikhailov, “Residual nilpotence and residual solubility of groups”, Sb. Math., 196:11 (2005), 1659–1675  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2004
48. 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  elib  scopus 6

   2002
49. R. V. Mikhailov, “On invisible subgroups”, Russian Math. Surveys, 57:6 (2002), 1232–1233  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
50. 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
51. 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  scopus

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
  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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