Publikationen

Books

• Introduction to Group Theory,
  European Mathematical Society Publishing House, Zürich, 2008, 187 pages (in English).
• Introduction to Group Theory (Russian edition),
  Scientific-publishing Center "Institute of computer investigations", Moskow-Izevsk, 2002,
  148 pages (in Russian).
• Combinatorial group theory. Part I,
  Novosibirsk, Novosibirsk State University Press, 2000, 111 pages (in Russian).
• Lectures on group theory,
  Novosibirsk, Novosibirsk State University Press, 1997, 63 pages (in Russian).
  

Books (ed.)

• Bogopolski O., ed. of translation (in russian) and the author of the preface to the book of M. Gromov,
  Hyperbolic groups, Essays in group theory (S.M. Gersten, ed.), MSRI Publ., 8, Springer-Verlag,
  1987, 75-263.
  Translated by the scientific-publishing Center "Institute of computer investigations", Moskow-Izevsk, 2002,
  148 pages (in Russian).
• Bogopolski O.V., Bumagin I., Kharlampovich O., Ventura E. (eds.),
  Combinatorial and Geometric Group Theory. Dortmund and Ottawa-Montreal conferences,
  New Trends in Mathematics, Birkhäuser, 2010.
  

Papers and preprints

1. Equations in acylindrically hyperbolic groups and verbal closedness,
   To appear in Groups, Geometry and Dynamics.
   
2. A periodicity theorem for acylindrically hyperbolic groups,
   Journal of Group Theory, v. 24, Issue 1 (2021), 1-15.
   
3. Exponential equations in acylindrically hyperbolic groups,
   with Agnieszka Bier.
   
4. Notes about decidability of exponential equations in groups,
   with Aleksander Ivanov.
   
5. Abstract homomorphisms from some topological groups to acylindrically hyperbolic groups,
   with Samuel M. Corson.
   
6. On finite systems of equations in acylindrically hyperbolic groups.
   
7. From local to global conjugacy of subgroups of relatively hyperbolic groups ,
   with Kai-Uwe Bux. International Journal of Algebra and Computation, Vol. 27, No. 3 (2017), 299-314.
   
8. An algorithm for finding a basis of the fixed point subgroup of an automorphism of a free group,
   with O. Maslakova. International J. of Algebra and Computation, v. 26, Issue 1 (2016), 29-67.
   
9. On subgroup conjugacy separability of hyperbolic QVH-groups,
   with Kai-Uwe Bux (2016).
10. An uncountable homology group, where each element is an infinite product of commutators,
    with A. Zastrow, Topology and its Applications, 197 (1) (2016), 167-180.
11. An algorithm for finding a basis of the fixed point subgroup of an automorphism of a free group,
    with O. Maslakova. Short presentation in: Extended Abstracts Fall 2012. Automorphisms of free groups. Series:
    Trends in Mathematics, Vol. 1. Birkhäuser Mathematik 2014.
12. Subgroup conjugacy separability for surface groups,
    with Kai-Uwe Bux. (2014).
13. Generalized presentations of infinite groups, in particular of Aut(F_ω),
    with W. Singhof, Intern. Journal of Algebra and Computation, v. 22, n. 8 (2012), 39 pages.
    
14. Abstract commensurators of solvable Baumslag-Solitar groups,
    Communications in Algebra, v. 40, issue 7 (2012), 2494-2502.
15. The word problem for some uncountable groups given by contable words,,
    with A. Zastrow, Topology and its Applications. v. 159, issue 3 (2012), 569-586.
    
16. On endomorphisms of torsion-free hyperbolic groups,
    with E. Ventura. International Journal of Algebra and Computations, v. 21, no. 8 (2011), 1415-1446.
    
17. On subgroup conjugacy separabiltiy in the class of virtually free groups,
    with F. Grunewald. Max-Planck-Institute of Mathematics Preprint Series, n. 110 (2010), 18 pages.
    
18. On abstract commensurators of groups,
    with Bartholdi, Journal of Group Theory, v. 13, n. 6 (2010).
    
19. A recursive presentation for Mihailova's subgroup,
    with E. Ventura, Groups, Geometry and Dynamics, v. 4, Issue 3 (2010), 407-417.
    
20. Orbit decidability and the conjugacy problem for some extensions of groups,
    with A. Martino and E. Ventura, Trans. Amer. Math. Soc. v. 362, n. 4 (2010), 2003-2036.
    
21. The mean Dehn functions of abelian groups,
    with E. Ventura, Journal of Group Theory, v. 11, n. 4 (2008), 569-586.
    
22. A Magnus theorem for some one-relator groups,
    with K. Sviridov, In the Geometry and Topology Monograph. The Zieschang Gedenkschrift (ed. R. Weidmann,
    M. Boileau, M. Scharlemann), v. 14 (2008), 63-73.
23. The automorphism group of a free-by-cyclic group in rank 2,
    with A. Martino and E. Ventura, Communications in Algebra, Volume 35, Issue 5, 2007, 1675-1690.
    
24. A classification, up to hyperbolicity, of groups given by 2 generators and one relator of length 8,
    with N. Buskin and A. Buturlakin, Preprint N 764 of CRM (Centre de Recerca Matematica), Barcelona, 2007,
    16 pages.
    
25. Subgroups of small index in Aut (F_n) and the Kazhdan property (T).
    In: "Combinatorial and Geometric Group Theory. Dortmund and Ottawa-Montreal conferences", Bogopolski O.V.,
    Bumagin I., Kharlampovich O., Ventura E. (eds.), pp. 1-17; New Trends in Mathematics, Birkhäuser, 2010.
    
26. Free-by-cyclic groups have solvable conjugacy problem,
    with A. Martino, O. Maslakova and E. Ventura, Bulletin of the London Math. Soc., v. 38, part 5, 2006, 787-794.
    
27. A surface group analogue of a theorem of Magnus,
    in "Geometric Methods in Group Theory", Contemp. Math., vol. 372, Amer. Math. Soc., Providence, RI, 2005,
    pp. 59-69.
    
28. Simple curves on surfaces and an analogue of a theorem of Magnus for surface groups,
    with E.Kudryavtseva and H. Zieschang, Math. Zeitschrift, v. 247, 2004, 595-609.
    
29. On the uniqueness of factors of amalgamated products,
    with R. Weidmann, J. of Group Theory, 5, 2002, 233-240.
    
30. On embeddings of Out(F_n), the outer automorphism group of the free group of rank n,
    into Out(F_m) for m>n,
    with D. Puga, Algebra and Logic, v. 41, no. 2 (2002), 69-73.
    
31. Decompositions of fundamental groups of closed surfaces into free constructions,
    Geometriae Dedicata, v. 94, no. 1 (2002), 63-89.
    
32. The automorphic conjugacy problem for subgroups of fundamental groups of comp[act surfaces,
    Algebra and Logic, v. 40, no. 1 (2001), 17-33.
    
33. Classification of automorphisms of the free group of rank 2 by ranks of fixed-points subgroups,
    J. Group Theory, v. 3, no. 3 (2000), 339-351.
    
34. Infinite commensurable hyperbolic groups are bi-Lipshitz equivalent,
    Algebra and Logic, v. 36, no. 3 (1997), 155-163.
    
35. Classification of actions of finite groups on orientable surface of genus 4,
    Proceedings of the Institute of Mathematics of Siberian Branch of Russian Academy of Sciences, v. 30,
    1996, 48-69 (in Russian). English translation in: Siberian Advances in Mathematics, v. 7, no.4 (1997), 9-38.
    
36. Generalized ends of hyperbolic groups,
    Preprint Nr. 207, August 1996, Fakultät für Mathematik der Ruhr-Universität Bochum, 13 pages.
    
37. Finite subgroups of hyperbolic groups,
    with V.N. Gerasimov, Algebra and Logic, v. 34, no. 6 (1995), 343-345.
    
38. Almost free groups with M. Hall property,
    Algebra and Logic, v. 33, no. 1 (1994), 1-13.
    
39. On the multiplicity of illumination of convex bodies by point sources,
    with V.A. Vasil'ev, Mathematical Notes, v. 54, no. 4 (1993), 987-991.
    
40. Finitely generated groups with the M. Hall property,
    Algebra and Logic, v. 31, no. 3 (1992), 141-169.
    
41. On the conjugacy problem for automorphisms of free groups
    (Problem of the conjugacy of Automorphisms of free groups),
    Algebra and Logic, v. 28, no. 1 (1989), 10-17.
    
42. On stabilizers of quadratic words in the automorphism group of a free group,
    deposited in the Institute of Scientific and Technical Information of USSR, nr. 5488-B87, 1987,
    19 pages (in Russian).
    
43. Stabilizer of the product of two commutators in the automorphism group of free group of rank four,
    Preprint no. 13, 1987, Novosibirsk, Institute of Mathematics of Siberian Branch of the USSR Academy,
    26 pages (in Russian).
    
44. Arboreal decomposability of groups of automorphisms of free groups
    (Treelike decomposability of automorphisms groups of free groups),
    Algebra and Logic, v. 26, no. 2 (1987), 79-91.