Home  Research  Publications  Teaching  Links 

THE MOST IMPORTANT PUBLICATIONS

   
       

  1. I. Bumagin,O. Kharlampovich, A. Miasnikov, Isomorphism problem for fully residually free groups , J. Pure and Applied Algebra, Volume 208, Issue 3, March 2007, Pages 961-977.
  2. O. Kharlampovich, A. Miasnikov, Elementary theory of free nonabelian groups (paper 5 on the theory of a free group) ,  J.Algebra, 302, Issue 2, 451-552, 2006. 2002 version, first 1999 version.
  3. O. Kharlampovich, A. Miasnikov, Effective JSJ decompositions  (paper 4 on the theory of a free group),  Contemp.Math. AMS, Algorithms,Languages, Logic (Borovik, ed.), CONM/ 378, 2005, 87-212 (Math GR/0407089).
  4. O. Kharlampovich, A. Miasnikov, Implicit function theorem over free groups and genus problem Proceedings of the Birmanfest, AMS/IP Studies in Advanced Mathematics, v. 24, 2001, 77--83.
  5. O. Kharlampovich, A. Myasnikov, Algebraic geometry for free groups: lifting solutions into generic points,   Contemp.Math. AMS, Algorithms, Languages, Logic (Borovik, ed.), CONM/ 378, 2005, 213-318  (Math GR/0407110).
  6. O. Kharlampovich, A. Myasnikov, V. Remeslennikov, D. Serbin, Subgroups of fully residually free groups: algorithmic problems, Contemp. Math. series of the AMS, Group theory, Statistics and Cryptography, 360 (2004).
  7. O. Kharlampovich, Equations over fully residually free groups . Sections "Auxiliary results", "Projective images", Theorem 2 from the 1999 version of this paper were moved into paper 5 ("Elementary theory..."), all the other results  appeared in the paper "Effective JSJ decompositions".
  8. O. Kharlampovich, A. Myasnikov, Implicit function theorem over free groups , (paper 3 on the theory of a free group,  Math. GR/0312509),  Journal of Algebra, vol 290/1, pp. 1--203, 2005.  2000 version. The last section from the 1999 version of this paper was moved into paper 5 ("Elementary theory...").
  9. O. Kharlampovich, E. Lioutikova and A. Myasnikov, Equations in the Q-completion of a torsion-free hyperbolic group, Transactions of the A.M.S., V. 351, No. 4, 1999, 20 pages.
  10. O. Kharlampovich and A. Myasnikov,Tarski's problem about the elementary theory of free groups has a positive solution, PDFERA-AMS, V.4, 1998, 101--108.
  11. O. Kharlampovich and A. Myasnikov, Equations in a free Q-group, Transactions of the A.M.S., V. 350, No. 3, March 1998, 947--974.
  12. O. Kharlampovich and A. Myasnikov, Hyperbolic groups and free constructions, Transactions of the A.M.S., V. 350, No. 2, Feb. 1998, 571--613.
  13. O. Kharlampovich, A. Myasnikov , Irreducible affine varieties over a free group. I: Irreducibility of quadratic equations and Nullstellensatz (paper 1 on the theory of a free group), J. Algebra, V. 200, 472--516 (1998).
  14. O. Kharlampovich, A. Myasnikov , Irreducible affine varieties over a free group. II: Systems in row-echelon form and description of residually free groups (paper 2 on the theory of a free group), J. Algebra, V. 200, 517--570 (1998).
  15. O. Kharlampovich, A. Myasnikov, V. Remeslennikov, Logical languages and axioms for groups with a length function, Russian academy of sciences, Siberian division, Preprint 20, Omsk 1995.
  16. O. Kharlampovich and M. Sapir, Algorithmic problems in varieties, a survey, International Journal of Algebra and Computation, (1995), # 12, 379--602.
  17. D. Gildenhuys, O. Kharlampovich, A. Myasnikov, CSA groups and separated free constructions, Bull. Austral. Math. Soc., Vol. 52 (1995), 63--84.
  18. O. Kharlampovich, The word problem for the Burnside groups, Journal of Algebra, 173, (1995), 613--621.
  19. D. Gildenhuys, S. Ivanov and O. Kharlampovich, On a series of 1-relator pro-p-groups, (13 pages), Proceedings of The Royal Society of Edinburgh, Vol. 124A, (1994), 1199--1207.
  20. O. Kharlampovich and D. Gildenhuys, The word problem for some varieties of solvable Lie algebras, International Journal of Algebra and Computation, Vol.4, No.3(1994), 481--491.
  21. O. Kharlampovich and D. Gildenhuys, Varieties of Lie algebras with solvable word problem, Communications in Algebra, Vol.21, No.10 (1993), 3571--3609.
  22. O. Kharlampovich and D. Gildenhuys, Identities in the variety of center-by-N2A Lie algebras, International Journal of Algebra and Computation, v.1, #4 (1991), 493--521.
  23. O. Kharlampovich, The word problem for solvable Lie algebras; a boundary between solvability and unsolvability, Contemporary Mathematics, v.131, (Part 2)(1992), 53--57.
  24. O. Kharlampovich, The word problem for solvable groups and Lie algebras, MSRI Publications by Springer-Verlag 23, (Algorithms and Classification in Combinatorial Group Theory, MSRI, Berkeley, CA) (1991), 61--69.
  25. O. Kharlampovich, The word problem for solvable groups and Lie algebras, Math. USSR Sbornik 67, 2 (1990), 489--525.
  26. O. Kharlampovich, Finitely presented solvable groups and Lie algebras with unsolvable word problem, Mat. Notes 46, 3-4 (1990), 731--738.
  27. O. Kharlampovich and M. Sapir, The word problem in varieties of Lie and associative algebras, Soviet Math. Iz. Vuz. 6 (1989), 76--84.
  28. O. Kharlampovich, Minimal varieties of groups and Lie algebras with unsolvable word problem, in ``Siberian School on Varieties of Algebraic Systems'', Barnaul (1988), 72--75.
  29. O. Kharlampovich, Equality problem in the variety $ZN_2A$, Iz. Vuz. Mat. No.11 (1988), 21--33.
  30. O. Kharlampovich, The word problem for subvarieties of the variety N2A, Algebra i Logika 26, 4 (1987), 258--285.
  31. O. Kharlampovich, I. Mel'nichuk and M. Sapir, The word problem in the varieties of semigroups, rings and Lie algebras, Sib. Math. J. 27, 6 (1986), 144--156.
  32. O. Kharlampovich, Lyndon's condition for solvable Lie algebras, Soviet Math. Iz. Vuz. 9 (1984), 50--59.
  33. O. Kharlampovich, The undecidability of the universal theory of some classes of Lie rings, in "Dep. VINITI, #5469-83", Sverdlovsk (1983), 2--17.
  34. O. Kharlampovich, The universal theory of the class of finite nilpotent groups is unsolvable, Mat. Zametki 33, 4 (1983), 499--516.
  35. O. Kharlampovich, A finitely presented solvable group with unsolvable word problem, Izvest. Ak. Nauk, Ser. Mat. (Soviet Math., Izvestia) 45, 4 (1981), 852--873.

    36.  

     
     
















































    IN PREPARATION:

  36. O. Kharlampovich and A. Myasnikov, Implicit function theorem for free groups.
  37. O. Kharlampovich and A. Myasnikov, Equations over fully residually free groups.

    38.  

     
     
















































    SUBMITTED FOR PUBLICATION:

  38. O. Kharlampovich and A. Myasnikov, Implicit function theorem over free groups and genus problem.
A complete list of publications.