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Publications and preprints

1. (with Melikhov S. A.) Links modulo knots and the problem of isotopic realization. (Russian) Uspekhi Mat. Nauk 56 (2001), no. 2(338), 219--220;
2. Transfinite lower central series of groups: parafree properties and topological applications. (Russian) Tr. Mat. Inst. Steklova 239 (2002), 251-267.
3. On invisible subgroups. (Russian) Uspekhi Mat. Nauk 57 (2002), no. 6(348), 187--188.
4. (with Passi I. B. S.) Augmentation powers and group homology. J. Pure Appl. Algebra 192 (2004), no. 1-3, 225-238.
5. (with Passi I. B. S.) Higher traces on group rings. Comm. Algebra 33 (2005), no. 4, 987-997.
6. (with Passi I. B. S) A transfinite filtration of Schur multiplicator. Internat. J. Algebra Comput. 15 (2005), no. 5-6, 1061-1073.
7. Residual nilpotence and residual solvability of groups. (Russian) Mat. Sb. 196 (2005), no. 11, 109-126; translation in Sb. Math. 196 (2005), no. 11-12, 1659-1675.
8. On residual nilpotence of projective crossed modules. Comm. Algebra 34 (2006), no. 4, 1451-1458.
9. (with Passi I. B. S.) The quasi-variety of groups with trivial fourth dimension subgroup. J. Group Theory 9 (2006), no. 3, 369-381.
10. (with Passi I. B. S.) Faithfulness of certain modules and residual nilpotence of groups. Internat. J. Algebra Comput. 16 (2006), no. 3, 525-539.
11. Faithful group actions and aspherical complexes, Proc. Steklov Math. Inst. 252 (2006), 184-193.
12. (with Bardakov V. G.) On residual properties of some link groups, Sib. J. Math. 48 (2007) 485-495.
13. Baer invariants and residual nilpotence of groups, Izv. Mat. 71 (2007), 151-172.
14. (with Passi I.B.S.) Homology of centralizers, Comm. Alg. 35 (2007), 2191 - 2207.
15. Asphericity and residual properties of crossed modules, Sb. Mat. 198 (2007), 79-94.
16. (with Emmanouil I.) A limit approach to group homology, J. Algebra 319 (2008), 1450-1461, arXiv:0812.2092
17. (with Bardakov V.G.) On certain questions of the free group automorphism theory, Comm. Alg. 36 (2008), 1489-1499, arXiv:math/0701441
18. (with Baues H.-J.) Intersection of subgroups in free groups and homotopy groups, Internat. J. Algebra Comput, 18 (2008), 803-823, arXiv:0804.1999
19. (with Passi I.B.S.) Residually nilpotent groups, L'Enseignement Mathematique 54 (2008), 145-146.
20. (with Passi I.B.S. and Hartl M.) Dimension quotients, Journal of Indian Math. Soc (2009), 63-107; arXiv: 0803.3290
21. (with Melikhov S. A.) Quasi-isotopy III: Engel conditions, to appear Top. Proc. arXiv: math.GT/0201022
22. (with Baues H.-J.) Homotopy types of reduced 2-nilpotent simplicial groups, Ind. J. Pure Appl. Math. 40 (2009), 35-80; arXiv:0804.2000
23. (with Belov A. Ya.) Free subalgebras of Lie algebras close to nilpotent, Groups, Geometry and Dynamics 4 (2010), 15-29; arXiv: 0805.0723
24. (with Passi I.B.S.) Limits over categories of extensions, Ind. J. Pure Appl. Math. 41 (2010), 113-131; arXiv: 0904.0634
25. (with Ellis G.) A colimit of classifying spaces, Advances in Math. 223 (2010), 2097-2113; arXiv:0804.3581
26. (with Bardakov V., Wu J., Vershinin V.) On the pure virtual braid group PV_3, arXiv: 0906.1743
27. (with Bardakov V., Wu J., Vershinin V.) Homotopy theory and group theory, Oberwolfach Reports, pdf (2008).
28. (with Bardakov V., Wu J., Vershinin V.) Brunnian braids on surfaces, Alg. Geom. Top. 12 (2012) 1607-1648; arXiv: 0909.3387
29. (with Wu J.) On homotopy groups of the suspended classifying spaces, Alg. Geom. Top. 10 (2010), 565-625; arXiv: 0908.3580
30. (with Breen L.) Derived functors of non-additive functors and homotopy theory, Alg. Geom. Top. 11 (2011), 327-415; arXiv: 0910.2817
31. On the homology of the dual de Rham complexes, preprint; arxiv: 1001.2824
32. (with Passi I.B.S. and Wu J.) Symmetric ideals in group rings and simplicial homotopy, J. Pure Appl. Algebra 215 (2011), 1085-1092; arxiv: 1002.0128
33. (with Wu J.) Combinatorial group theory and the homotopy groups of finite complexes, to appear: Geom. Topol. arXiv: 1108.3055
34. (with Wu J.) Homotopy groups as centers of finitely presented groups, to appear: Izv. Mat. arXiv: 1108.6167
35. (with Baumslag G. and Orr K.) A new look at finitely generated metabelian groups, to appear: Contemporary Mathematics: Combinatorial and Computational Group Theory with Cryptography; arXiv: 1203.5431
36. On the splitting of polynomial functors, arXiv: 1202.0586
37. (with Ivanov S.V.) On zero-divisors in group rings of groups with torsion, to appear: Canadian Math. Bull, arXiv: 1209.1443
38. Homotopical and combinatorial aspects of the theory of normal series in groups: a survey based on the Habil. Thesis, 171p., to appear
39. Homotopy theory of Lie functors, (draft version): pdf (2012).
Book: (with Passi I.B.S.) Lower central and dimension series of groups, Lecture Notes in Mathematics 1952, Springer (2008), 354p.