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).
2. On a Hanna Neumann's problem, Matem. Sbornik (1968), N 3, 449-453 (in Russian). Translated in Math. USSR-Sb.
3. Varieties of residually finite groups, Izvestia Akad. Nauk SSSR, Ser. Matem. (1969), N 4, 915-927 (in Russian). Translated in Math. USSR-Izv.
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.
5. Two remarks on varieties of groups, Vestnik Mosk. Univ., Ser. Matem. (1971) N 2, 45-50 (in Russian).
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.
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.
9. On characteristic subgroups of free groups, Uspekhi Matem. Nauk (1974), N 1, 179-180 (in Russian). Translated in Russian Math. Surveys
10. Quasiidentities in finite groups, Sibirsk. Matem. J. (1974), 1409-1413 (in Russian). Translated in Siberian Math. J.
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.
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).
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.
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.
15. On some infinite sets of identities, Trudy Sem. im. I. G. Petrovskogo (1978), N 3, 139-145 (in Russian).
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.
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.
19. On groups with cyclic subgroups, Doklady Bulg. Akad. Nauk 32 (1979), N 5, 1165-1166 (in Russian).
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.
21. To the question on the existence of an invariant mean on a group, Uspekhi Matem. Nauk (1980), N 4, 199-200 (in Russian).
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.
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.
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.
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.
29. Varieties in which all finite groups are abelian, Matem. Sbornik, 126 (1985), N 1, 59-82 (in Russian).
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.
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.
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
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
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
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.
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
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.
39. Some applications of graded diagrams in combinatorial group theory, London Math. Soc., Lecture Notes Ser., 160 (1990), 258-308 (with S. V. Ivanov)
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)
41. Hyperbolicity of groups with subquadratic isoperimetric inequality, Intern. J. of Algebra and Comput. 1 (1991), N 3, 281-289.
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
43. Almost every group is hyperbolic, Intern. J. of Algebra and Comput., 2 (1992), N 1, 1-17.
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).
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)
46. On residualing homomorphisms and G-subgroups of hyperbolic groups, Intern. J. of Algebra and Comput., 3 (1993), 1-44.
47. On calculation of width in free groups, London Math. Soc., Lecture Notes Ser., 204 (1995), 255-258.
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.
50. A group variety defined by a semigroup law, J. Austral. Math. Soc. (Series A) 60 (1996), 255-259 (with A.Storozhev).
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).
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
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
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
55. Some constructions relating to hyperbolic groups, London Math. Soc. Lecture Notes Ser., 252 (1998), 263-290 (joint with K. V. Mikhajlovskii).
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
57. The growth of finite subgroups in p-groups, London Math. Soc. Lect. Note Ser. 261 (1999), 579-595. ps-file
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
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
60. Embeddings of relatively free groups into finitely presented groups Contemp.Math., 264 (2000), 23-47 (joint with M.V.Sapir) ps-file
61. On the Bass - Lubotzky question about quotients of hyperbolic groups, Journal of Algebra, 226 (2000), 807-817. pdf-file ps-file
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
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
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, "Memoirs of the AMS" 170 (2004), no. 804 p.p. vii+131 (with M.V. Sapir).
70. Subgroups of finitely presented groups with solvable conjugacy problem, Intern. J. Algebra and Comput., 15, no. 5-6 (2005), 1-10 (with M.V. Sapir).
71. Groups with non-simply connected asymptotic cones, Contemporary Mathematics, 394 (2006), 203-208 (with M.V Sapir).
72. Groups with small Dehn functions and bipartite chord diagrams, accepted to Geomtric and Functional Analysis, 53 p.p. (with M.V. Sapir).
73. Groups with quadratic-non-quadratic Dehn functions, accepted to Intern. J. Algebra. and Comput., 16 p.p.
74. A finitely presented group with two non-homeomorphic asymptotic cones, accepted to Intern. J. Algebra and Comput., 5 p.p. (with M.V. Sapir).
75. On finite definability of groups F/[M,N], accepted to "Vestnik Moskovskogo Universiteta" (Proc. of the Moscow State University), 7 p.p. (with O.V. Kulikova).
76. Large groups and their periodic quotients. Submitted. 6 p.p. (with D.V. Osin).
77. Large restricted Lie algebras, arXiv math. RA/0608764, 17 p.p. (with Yu.A. Bahturin).
78. Coarsely hyperbolic groups. Submitted. 73 p.p. (with D.V. Osin and M.V. Sapir).
78. Linear automorphism groups of relatively free groups. "Turkish Journal of Mathematics", 31(2007) (suppl., dedicated to the memory of Brian Hartley), 105-111.
79. A 2-generated 2-related group with no non-trivial finite quotients. Algebra and Discrete Math. 2007, no. 2, 111--114 (with M.V.Sapir).
80.On products of T-ideals in free algebras and free group algebras. "Journal of Pure and Applied Algebra", 213(2009), no. 2, 259-263.
81.Schreier rewriting beyond the classical setting. "Science in China", Ser. A, Mathematics (Springer), 52 (2009), no.2, 231--243(with Yu.A.Bahturin).
82.Periodic quotients of hyperbolic and large groups, accepted in "Groups, Geometry and Dynamics" (with A.Minasyan and D.Sonkin), 26 p.p; see also http://arxiv.org/abs/0804.3328).
83.Lacunarly hyperbolic groups. Submitted. 88 p.p. (with D.V.Osin and M.V.Sapir)
84. On k-free-like groups. Submitted. 8 p.p. (with M.V.Sapir), see also arXiv: 0811:1607.
85. Actions of maximal growth. Submitted. 64 p.p. (with Yu.A.Bahturin) see also arXiv: 0901.0566.
The following papers have been published in the Soros Educational Journal.
86. Multiplication of symmetries and transformations, no. 5 (1996), 115-120 (in Russian).
87. Group calcula, no. 10 (1996), 114-119 (in Russian).
88. Planar graphs, no. 11 (1996), 117-122 (in Russian).
89. On the complexity of computations in groups, no. 3 (2000), 120-125 (in Russian).
