List of publications of A. Yu. Ol'shanskii

List of publications of A. Yu. Olshanskii

You can download some papers as Postscript or PDF files from the list of my publications below.

1. On the residual property of groups, Vestnik Mosk. Univ., Ser. Matem. (1968), N 2, 60-62, Russian (with K. K. Andreyev). Review

2. On a Hanna Neumann's problem, Matem. Sbornik (1968), N 3, 449-453 (in Russian). Translated in Math. USSR-Sb. Review

3. Varieties of residually finite groups, Izvestia Akad. Nauk SSSR, Ser. Matem. (1969), N 4, 915-927 (in Russian). Translated in Math. USSR-Izv. Review

4. On the problem of a finite basis of identities for groups, Izvestia Akad. Nauk SSSR, Ser. Matem.(1970), N 2, 376-384 (in Russian). Translated in Math. USSR-Izv. Review

5. Two remarks on varieties of groups, Vestnik Mosk. Univ., Ser. Matem. (1971) N 2, 45-50 (in Russian). Review

6. Some questions of the theory of group varieties, Ph. D. thesis, Mosc. Univ., Dept. of Mechanics and Mathematics, 1971 (in Russian).

7. Solvable just-non-Cross varieties of groups, Matem. Sbornik (1971), N 5, 115-131 (in Russian). English translation: Math. USSR-Sb. 14 (1971), 115--129. Review

8. On orders of relatively free groups of locally finite varieties, Izvestia Akad. Nauk SSSR, Ser. Matem. (1973), N1, 89-94 (in Russian). English translation: Math. USSR-Izv. 7 (1973), 85--90. Review

9. On characteristic subgroups of free groups, Uspekhi Matem. Nauk (1974), N 1, 179-180 (in Russian). Translated in Russian Math. Surveys Review

10. Quasiidentities in finite groups, Sibirsk. Matem. J. (1974), 1409-1413 (in Russian). Translated in Siberian Math. J. Review

11. Identical relations in finite Lie rings, Matem. Sbornik (1975), N 4, 543-559, in Russian (joint with Yu. A. Bakhturin). Translated in Math. USSR-Sb. Review

12. On residual property and characteristic subalgebras of free Lie algebras, Trudy Sem. im. I.G.Petrovskogo (1976), N 2, 145-150, in Russian (with Yu. A. Bakhturin). Review

13. Solvable just-non-Cross varieties of Lie rings, Matem. Sbornik (1976), N 3, 384-399, in Russian (joint with Yu. A. Bakhturin). Translated in Math. USSR-Sb. Review

14. To the questions on the number of generators and orders of abelian subgroups of finite p-groups, Matem. Zametki (1978), N3, 345-350 (in Russian). English translation: Math. Notes 23 (1978), no. 3--4, 183--185. Review

15. On some infinite sets of identities, Trudy Sem. im. I. G. Petrovskogo (1978), N 3, 139-145 (in Russian). Review

16. Investigation of locally finite varieties of groups, Doctor of Sci. Thesis (1979), Moscow State Univ., Dept. of Mechanics and Mathematics (in Russian).

17. Infinite groups with cyclic subgroups, Doklady Akad. Nauk SSSR, 245 (1979), N 4, 785-787 (in Russian); English translation: Soviet Math. Dokl. 20 (1979), no. 2, 343--346. Review

18. An infinite simple Noetherian torsion free group, Izvestia Akad. Nauk SSSR, Ser. Matem. (1979), N 6, 1328-1393 (in Russian); Translated in Math. USSR-Izv. Review

19. On groups with cyclic subgroups, Doklady Bulg. Akad. Nauk 32 (1979), N 5, 1165-1166 (in Russian). Review

20. An infinite group with subgroups of prime orders, Izvestia Akad. Nauk SSSR, Ser. Matem., 44 (1980), N 2, 309-321 (in Russian); English translation: Math. USSR-Izv. 16 (1981), no. 2, 279--289. Review

21. To the question on the existence of an invariant mean on a group, Uspekhi Matem. Nauk (1980), N 4, 199-200 (in Russian). Review

22. Remark on a countable non-topologized group, Vestnik Mosk. Univ., Ser. Matem. (1980), N 3, 103 (in Russian).

23. On Novikov - Adian's theorem, Matem. Sbornik, 118 (1982), n 2, 203-235 (in Russian). Translated in Math. USSR-Sb. Review

24. Groups of a finite exponent with subgroups of a prime order, Algebra and Logika (1982), N 5, 553-618 (in Russian); English translation: Algebra and Logic 21 (1982), no. 5, 369--418. Review

25. Practical work in algebra, Moscow State Univ. Publ (1983) 92 pages, in Russian (jointly with a team of authors).

26. Collection of exercises in algebra, Parts 1,2,3,4, Moscow State Univ. Publ. (1983, 1984, 1985, 1986), 148+184+104+72 pages, in Russian (jointly with a team of authors).

27. On a geometric method in combinatorial group theory, Proc. Int. Congress Math. 1(1983), 415-424. Review

28. On abelian and central extensions of aspherical groups, Izvestia Vuzov, Matem. (1985), N 11, 48-60, in Russian (with I. S. Ashmanov); English translation: Soviet Math. (Iz. VUZ) 29 (1985), no. 11, 65--82. Review

29. Varieties in which all finite groups are abelian, Matem. Sbornik, 126 (1985), N 1, 59-82 (in Russian). Review

30. Subgroups of quasifinite groups, Uspekhi Matem. Nauk, 41 (1986), N 6, 169-170, in Russian (joint with G. S. Deryabina); English translation: Russian Math. Surveys 41 (1986), no. 6, 169--170. Review

31. The Neumanns - Shmel'kin's theorem, Vestnik Mosk. Univ., Ser. Matem. (1986), N 6, 61-64 (in Russian); English translation: Moscow Univ. Math. Bull. 41 (1986), no. 6, 52--55. Review

32. Collection of exercises in algebra, Moscow, Nauka (1987), 352 pages, in Russian (joint with a team of authors).

33. Identical relations, Sovremen. problemy matem. Fundament. napravl., 117-240: in Itogi Nauki i Tekhniki VINITI AN SSSR, 18, Moscow, 1988, in Russian (with Yu. A. Bakhturin). Translated in Encyclopaedia of Mathematical Sciences, Algebra II, Noncommutative Rings. Identities Vol. 18, Springer, Heidelberg, 1991 Review

34. The Mal'tsev problem on operations on groups, Trudy Sem. im. I. G. Petrovskogo, 14 (1989), 225-249 (in Russian); translation in J. Soviet Math. 51 (1990), no. 4, 2468--2486 Review

35. Geometry of defining relations in groups, Moscow, Nauka, 1989, 448 pages (in Russian);
Translated in Mathematics and its Applications (Soviet Series), 70. Kluwer Academic Publishers Group, Dordrecht, 1991. xxvi+505 pp. ISBN: 0-7923-1394-1 Review

36. Thrifty embedding of countable groups, Vestnik Mosk. Univ., Ser. Matem. (1989), N 2, 28-34 (in Russian); translation in Moscow Univ. Math. Bull. 44 (1989), no. 2, 39--49 . Review

37. Infinite groups, Sovremen. problemy matem., Fundament. napravl., 5-113; in Itogi Nauki i Tekhniki VINITI AN SSSR, 37, Moscow, 1989, in Russian (with A. L. Shmel'kin); Translated in Encyclopaedia of Mathematical Sciences, Algebra IV, Infinite Groups. Linear Groups. VOL. 37, Springer, Heidelberg, 1993 Review

38. Diagrams of homomorphisms of surface groups, Sibirsk. Matem. J., 30 (1989), N 6, 150-171 (in Russian); translation in Siberian Math. J. 30 (1989), no. 6, 961--979 (1990)
See also: A comment on my paper: "Diagrams of homomorphisms of surface groups" Sibirsk. Mat. Zh. 31 (1990), no. 2, 222. Review

39. Some applications of graded diagrams in combinatorial group theory, London Math. Soc., Lecture Notes Ser., 160 (1990), 258-308 (with S. V. Ivanov) Review

40. Embedding of countable periodic groups into 2-generator simple periodic groups, Ukrain. Matem. J., 43 (1991), N 7-8, 980-986 (in Russian); translation in Ukrainian Math. J. 43 (1991), no. 7-8, 914--919 (1992) Review

41. Hyperbolicity of groups with subquadratic isoperimetric inequality, Intern. J. of Algebra and Comput. 1 (1991), N 3, 281-289. Review

42. Periodic quotients of hyperbolic groups, Matem. Sbornik., 182 (1991), N 4, 543-567 (in Russian); ; translation in Math. USSR-Sb. 72 (1992), no. 2, 519--541 Review

43. Almost every group is hyperbolic, Intern. J. of Algebra and Comput., 2 (1992), N 1, 1-17. Review

44. On two problems of H. Neumann about linked products of groups, Bull. Austral. Math. Soc., 46 (1992), 2, 311-315 (joint with S. V. Ivanov). Review

45. Embedding of periodic groups into simple periodic groups, Ukrain. Matem. J., 44 (1992), N 6, 845-847 (in Russian); translation in Ukrainian Math. J. 44 (1992), no. 6, 761--763 (1993) Review

46. On residualing homomorphisms and G-subgroups of hyperbolic groups, Intern. J. of Algebra and Comput., 3 (1993), 1-44. Review

47. On calculation of width in free groups, London Math. Soc., Lecture Notes Ser., 204 (1995), 255-258. Review

48. A simplification of Golod's example, Proc. 3rd Int. Conf. in Group Theory (Korea, Pusan, 1994), Walter de Gryuter (1995), 263-265.

49. SQ-universality of hyperbolic groups, Matem. Sbornik, 186 (1995), N 8, 119-132 (in Russian); translation in Sbornik Math. 186 (1995), no. 8, 1199--1211 Review .

50. A group variety defined by a semigroup law, J. Austral. Math. Soc. (Series A) 60 (1996), 255-259 (with A.Storozhev). Review

51.Generality of the class of groups in which subgroups with a lesser number of generators are free. (Russian) Mat. Zametki 59 (1996), no. 4, 489-496, 638; translation in Math. Notes 59 (1996), no. 3-4, 350-355. (with G. N. Arzhantseva). Review

52. Hyperbolic groups and their quotients of finite exponent, Trans. Amer. Math. Soc. 348 (1996) N 6, 2091-2138 (with S. V. Ivanov). pdf-file ps-file Review

53. On finite and locally finite subgroups of free Burnside groups of large even exponents, Journal of Algebra, 195(1997), 241-284 (with S. V. Ivanov). pdf-file Review

54.On the distortion of subgroups of finitely presented groups. (Russian) Mat. Sb. 188 (1997), no. 11, 51-98; translation in Sb. Math. 188 (1997), no. 11, 1617-1664. pdf-file ps-file Review

55. Some constructions relating to hyperbolic groups, London Math. Soc. Lecture Notes Ser., 252 (1998), 263-290 (joint with K. V. Mikhajlovskii). Review

56. Distortion functions for subgroups, in Geometric Group Theory Down Under, Proc. of a Special Year in Geometric Group Theory, Canberra, Australia, 1996, Ed. J.Cossey,…, Walter de Gruyter, Berlin - New York, 1999, 281-291. ps-file Review

57. The growth of finite subgroups in p-groups, London Math. Soc. Lect. Note Ser. 261 (1999), 579-595. ps-file Review

58. Quadratic isoperimetric functions of the Heisenberg groups. A combinatorial proof, Algebra, 11, J. Math. Sci. (new York) 93 (1999), no.6, 921-927 (with M. V. Sapir). ps-file Review

59. Length functions on subgroups in finitely presented groups, In Groups Korea'98, Proc. Intern. Conf., Pusan, Korea, 1998, Ed. Young Gheel Baik ..., Walter de Gruyter, Berlin -- New York, 2000, 297-304 (with M.V.Sapir). ps-file Review

60. Embeddings of relatively free groups into finitely presented groups Contemp.Math., 264 (2000), 23-47 (joint with M.V.Sapir) ps-file Review

61. On the Bass - Lubotzky question about quotients of hyperbolic groups, Journal of Algebra, 226 (2000), 807-817. pdf-file ps-file Review

62. Length and area functions in groups and quasi-isometric Higman embeddings, Intern. J. Algebra and Comput., 11 (2001), no. 2 , 137-170 (with M.V.Sapir). ps-file Review

63. Non-amenable finitely presented torsion-by-cyclic groups, Electron. Res. Announc. Amer. Math. Soc. 7 (2001), 63-71 ( with M.V.Sapir). pdf-file Review

64. Comparison of products of the varieties of Lie algebras, Comm. in Algebra , 29 (2001), #9, 4267-4275 (with A.L.Shmelkin ).

65. Isoperimetric functions of groups and combinatorial complexity of the word problem , Annals of Mathematics 156 (2002), # 2, 467-518 (with J.-C. Birget, E.Rips, M.Sapir). ps-file

66. Non-amenable finitely presented torsion-by-cyclic groups, accepted in Publ. Math. IHES, 96 (2002), # 6 (with M.V.Sapir).pdf-file ps-file

67. Self-normalization of free subgroups in the free Burnside groups, in “Groups, Rings, Lie and Hopf Algebras”, Kluwer AP, 2003, p.p. 179-187.

68. The conjugacy problem for groups and Higman Embeddings, submitted to Electron. Res. Announc. Amer. Math. Soc. (with M.V.Sapir).

69. Conjugacy problem and Higman embeddings (submitted with M.V.Sapir, 118 p.p.).

The following papers have been published in the Soros Educational Journal.

70. Multiplication of symmetries and transformations, no. 5 (1996), 115-120 (in Russian).

71. Group calcula, no. 10 (1996), 114-119 (in Russian).

72. Planar graphs, no. 11 (1996), 117-122 (in Russian).

73. On the complexity of computations in groups, no. 3 (2000), 120-125 (in Russian).

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