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).


  • Articles and preprints


  • Orbit decidability and the conjugacy problem for some extensions of groups,
    with A. Martino and E. Ventura, arXiv:0712.3104 [ps, pdf, other], 2008, 33 pages. Available at http://www.arxiv.org/PS_cache/arxiv/pdf/0712/0712.3104v1.pdf
    Accepted to Transactions of AMS.

  • The mean Dehn functions of abelian groups,
    with E. Ventura, Journal of Group Theory, v. 11, n. 4 (2008), 569-586. Available at http://www.arxiv.org/abs/math.GR/0606273

  • 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. Available at http://msp.warwick.ac.uk/gtm/2008/14/

  • On endomorphisms of torsion-free hyperbolic groups,
    with E. Ventura, Max-Planck-Institute of Mathematics Preprint Series, n. 136 (2008), 21 pages. Available at http://www.mpim-bonn.mpg.de/Research/MPIM+Preprint+Series/

  • An infinite commutator-product is not automatically trivial in the homology,
    with A. Zastrow, Max-Planck-Institute of Mathematics Preprint Series, n. 125 (2008), 24 pages.

  • A recursive presentation for Mihailova's subgroup,
    with E. Ventura, Max-Planck-Institute of Mathematics Preprint Series, n. 122 (2008), 9 pages. Available at http://www.mpim-bonn.mpg.de/Research/MPIM+Preprint+Series/

  • On abstract commensurators of groups,
    with Bartholdi, Max-Planck-Institute of Mathematics Preprint Series, n. 126 (2008), 13 pages. Available at http://www.mpim-bonn.mpg.de/Research/MPIM+Preprint+Series/

  • 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. Available at http://www.arxiv.org/abs/math.GR/0602327

  • 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. Available at http://www.crm.cat

  • Subgroups of small index in Aut (F_n) and the Kazhdan property (T),
    with R. Vikentiev, Preprint N 765 of CRM (Centre de Recerca Matematica), Barcelona, 2007, 11 pages. Available at http://www.crm.cat

  • 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.

  • 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.

  • Simple curves on surfaces and an analogue of a theotem of Magnus for surface groups,
    with E.Kudryavtseva and H. Zieschang, Math. Zeitschrift, v. 247, 2004, 595-609.

  • On the uniqueness of factors of amalgamated products,
    with R. Weidmann, J. of Group Theory, 5, 2002, 233-240.

  • 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.

  • Decompositions of fundamental groups of closed surfaces into free constructions,
    Geometriae Dedicata, v. 94, no. 1 (2002), 63-89.

  • The automorphic conjugacy problem for subgroups of fundamental groups of comp[act surfaces,
    Algebra and Logic, v. 40, no. 1 (2001), 17-33.

  • 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.

  • Infinite commensurable hyperbolic groups are bi-Lipshitz equivalent,
    Algebra and Logiic, v. 36, no. 3 (1997), 155-163.

  • 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.

  • Generalized ends of hyperbolic groups,
    Preprint Nr. 207, August 1996, Fakultaet fuer Mathematic der Ruhr-Universitaet Bochum, 13 pages.

  • Finite subgroups of hyperbolic groups,
    with V.N. Gerasimov, Algebra and Logic, v. 34, no. 6 (1995), 343-345.

  • Almost free groups with M. Hall property,
    Algebra and Logic, v. 33, no. 1 (1994), 1-13.

  • 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.

  • Finitely generated groups with the M. Hall property,
    Algebra and Logic, v. 31, no. 3 (1992), 141-169.

  • On the conjugacy problem for automorphisms of free groups,
    Algebra and Logic, v. 28, no. 1 (1989), 10-17.

  • 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).

  • Stabilizer of the product of two commutators in the automorphism group of free group of rank four,
    Preprint no. 13, 1987, Novosibirsk, Institute of Nathematics of Siberian Branch of the USSR Academy, 26 pages (in Russian).

  • Arboreal decomposability of groups of automorphisms of free groups,
    Algebra and Logic, v. 26, no. 2 (1987), 79-91.


  • Dissertations


  • Decompositions and automorphisms of fundamental groups of compact surfaces,
    Dr. dissertation (Habilitation), Novosibirsk, Institute of Mathematics of SB RAS, 2000, 142 pages (in Russian).

  • Automorphisms of free groups,
    Ph.D dissertation (Habilitation), Novosibirsk, Institute of Mathematics of Siberian Branch of the USSR Academy of sciences, 1988, 83 pages (in Russian).