Roman'kov Vitalii Anatol'evich

Publications in Math-Net.Ru

1. Embeddings of partially commutative nilpotent groups
   
   Mat. Zametki, 116:2 (2024),  236–244
2. Undecidability of the submonoid membership problem for free nilpotent group of class $l\geqslant 2$ of sufficiently large rank
   
   Izv. RAN. Ser. Mat., 87:4 (2023),  166–185
3. Embedding of Free Nilpotent (Metabelian) Groups in Partially Commutative Nilpotent (Metabelian) Groups
   
   Mat. Zametki, 114:5 (2023),  773–779
4. Discrete differentiations and integrations and their possible applications to algebra and cryptography
   
   Prikl. Diskr. Mat., 2023, no. 61,  5–14
5. Undecidability of the submonoid membership problem for a sufficiently large finite direct power of the Heisenberg group
   
   Sib. Èlektron. Mat. Izv., 20:1 (2023),  293–305
6. A criterion for effective complete decomposability of abelian groups
   
   Eurasian Math. J., 13:2 (2022),  62–69
7. Generalized scheme of hidden compact storage of data of various users in a common open database
   
   Bulletin of Irkutsk State University. Series Mathematics, 40 (2022),  63–77
8. Superpositions of free Fox derivations
   
   Prikl. Diskr. Mat., 2022, no. 56,  28–32
9. Positive elements and sufficient conditions for solvability of the submonoid membership problem for nilpotent groups of class two
   
   Sib. Èlektron. Mat. Izv., 19:1 (2022),  387–403
10. Solvability of Independent Systems of Equations in Finitely Generated Nilpotent Groups
    
    Mat. Zametki, 110:4 (2021),  569–575
11. Algorithmic theory of solvable groups
    
    Prikl. Diskr. Mat., 2021, no. 52,  16–64
12. An improvement of cryptographic schemes based on the conjugacy search problem
    
    Prikl. Diskr. Mat. Suppl., 2021, no. 14,  114–118
13. Two problems for solvable and nilpotent groups
    
    Algebra Logika, 59:6 (2020),  719–733
14. Verbally closed subgroups of free solvable groups
    
    Algebra Logika, 59:3 (2020),  367–384
15. On the stabilizer of a column in a matrix group over a polynomial ring
    
    Prikl. Diskr. Mat., 2020, no. 48,  34–42
16. About the hidden compact way to store data
    
    Prikl. Diskr. Mat. Suppl., 2020, no. 13,  56–59
17. Primitive elements and automorphisms of the free metabelian group of rank $3$
    
    Sib. Èlektron. Mat. Izv., 17 (2020),  61–76
18. Discrete logarithm for nilpotent groups and cryptanalysis of polylinear cryptographic system
    
    Prikl. Diskr. Mat. Suppl., 2019, no. 12,  154–160
19. Efficient methods of algebraic cryptanalysis and protection against them
    
    Prikl. Diskr. Mat. Suppl., 2019, no. 12,  117–125
20. Rationality of verbal subsets in solvable groups
    
    Algebra Logika, 57:1 (2018),  57–72
21. A nonlinear decomposition method in analysis of some encryption schemes using group automorphisms
    
    Prikl. Diskr. Mat., 2018, no. 41,  38–45
22. Solvability of equations in classes of solvable groups and Lie algebras
    
    Algebra Logika, 56:3 (2017),  375–381
23. General algebraic cryptographic key exchange scheme and its cryptanalysis
    
    Prikl. Diskr. Mat., 2017, no. 37,  52–61
24. On solvability of regular equations in the variety of metabelian groups
    
    Prikl. Diskr. Mat., 2017, no. 36,  51–58
25. Algebraically and verbally closed subgroups and retracts of finitely generated nilpotent groups
    
    Sibirsk. Mat. Zh., 58:3 (2017),  686–699
26. On solvability of equations with endomorphisms in nilpotent groups
    
    Sib. Èlektron. Mat. Izv., 13 (2016),  716–725
27. The commutator width of some relatively free Lie algebras and nilpotent groups
    
    Sibirsk. Mat. Zh., 57:4 (2016),  866–888
28. Linear decomposition method in analyzing hidden information protocols on algebraic platforms
    
    Algebra Logika, 54:1 (2015),  119–128
29. A semantically secure public-key cryptosystem based on RSA
    
    Prikl. Diskr. Mat., 2015, no. 3(29),  32–40
30. Cryptanalysis of Ushakov–Shpilrain's authentication protocol based on the twisted conjugacy problem
    
    Prikl. Diskr. Mat., 2015, no. 2(28),  46–53
31. Existentially closed subgroups of free nilpotent groups
    
    Algebra Logika, 53:1 (2014),  45–59
32. Cryptanalysis of a Diffie–Hellman's scheme analogue using conjugation and exponentiation on matrix platform
    
    Prikl. Diskr. Mat. Suppl., 2014, no. 7,  56–58
33. Verbally and existentially closed subgroups of free nilpotent groups
    
    Algebra Logika, 52:4 (2013),  502–525
34. The linearity problem for the unitriangular automorphism groups of free groups
    
    J. Sib. Fed. Univ. Math. Phys., 6:4 (2013),  516–520
35. Cryptanalysis of some schemes applying automorphisms
    
    Prikl. Diskr. Mat., 2013, no. 3(21),  35–51
36. The local structure of groups of triangular automorphisms of relatively free algebras
    
    Algebra Logika, 51:5 (2012),  638–651
37. On constructing possibly one-way functions based on the non-decidability of the endomorphism problem in groups
    
    Prikl. Diskr. Mat., 2012, no. 3(17),  13–24
38. Diophantine cryptography over infinite groups
    
    Prikl. Diskr. Mat., 2012, no. 2(16),  15–42
39. On the groups of unitriangular automorphisms of relatively free groups
    
    Sibirsk. Mat. Zh., 53:5 (2012),  991–1000
40. Constructing of one-way functions based on undecidability of the endomorphism problem in groups
    
    Prikl. Diskr. Mat., 2011, no. supplement № 4,  32–33
41. On the derived series of some groups
    
    Sibirsk. Mat. Zh., 52:2 (2011),  441–445
42. The twisted conjugacy problem for endomorphisms of metabelian groups
    
    Algebra Logika, 48:2 (2009),  157–173
43. Strictly nontame primitive elements of the free metabelian Lie algebra of rank 3
    
    Sibirsk. Mat. Zh., 50:1 (2009),  82–95
44. Asymptotic growth of averaged Dehn functions for nilpotent groups
    
    Algebra Logika, 46:1 (2007),  60–74
45. On existence of the universal rational structures for groups
    
    Sib. Èlektron. Mat. Izv., 4 (2007),  52–63
46. Subcubic growth of the averaged Dehn function for a class 2 nilpotent group
    
    Sibirsk. Mat. Zh., 46:3 (2005),  663–672
47. Constructible Matrix Groups
    
    Algebra Logika, 43:5 (2004),  603–613
48. Constructive Matrix and Orderable Groups
    
    Algebra Logika, 43:3 (2004),  353–363
49. Nonlinearity of the automorphism groups of some free algebras
    
    Sibirsk. Mat. Zh., 45:5 (2004),  1184–1188
50. The inverse function theorem for free associative algebras
    
    Sibirsk. Mat. Zh., 45:5 (2004),  1178–1183
51. Subquadratic growth of the averaged Dehn function for free Abelian groups
    
    Sibirsk. Mat. Zh., 44:4 (2003),  772–778
52. Test Elements for Free Solvable Groups of Rank 2
    
    Algebra Logika, 40:2 (2001),  192–201
53. The Tennant-Turner swap conjecture
    
    Algebra Logika, 34:4 (1995),  448–463
54. Infinite generation of automorphism groups of free pro-$p$ groups
    
    Sibirsk. Mat. Zh., 34:4 (1993),  153–159
55. Generating elements of groups of automorphisms of free metabelian pro-$p$-groups
    
    Sibirsk. Mat. Zh., 33:5 (1992),  145–158
56. Primitive elements of free groups of rank 3
    
    Mat. Sb., 182:7 (1991),  1074–1085
57. Model-theoretic and algorithmic questions of group theory
    
    Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 21 (1983),  3–79
58. Normal automorphisms of discrete groups
    
    Sibirsk. Mat. Zh., 24:4 (1983),  138–149
59. The width of verbal subgroups of solvable groups
    
    Algebra Logika, 21:1 (1982),  60–72
60. Infinite groups
    
    Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 17 (1979),  65–157
61. Universal theory of nilpotent groups
    
    Mat. Zametki, 25:4 (1979),  487–495
62. Equations in free metabelian groups
    
    Sibirsk. Mat. Zh., 20:3 (1979),  671–673
63. Unsolvability of the problem of endomorphic reducibility in free nilpotent groups and in free rings
    
    Algebra Logika, 16:4 (1977),  457–471
64. Imbedding of certain wreath products in the groups of automorphisms of finitely generated solvable groups
    
    Algebra Logika, 15:3 (1976),  300–307
65. Nilpotent groups that have similar automorphism groups
    
    Algebra Logika, 13:5 (1974),  534–543
66. An embedding theorem for polycyclic groups
    
    Mat. Zametki, 14:5 (1973),  741–744
67. Embedding theorems for nilpotent groups
    
    Sibirsk. Mat. Zh., 13:4 (1972),  859–867
68. Nondistributivity of the lattice of varieties of nilpotent groups
    
    Algebra Logika, 9:1 (1970),  67–72
69. Algorithmic questions for $\sigma $-powered groups
    
    Algebra Logika, 8:6 (1969),  643–659


70. In memory of Valeriy Matveevich Kopytov
    
    Algebra Logika, 61:6 (2022),  I–IV
71. Ualbai Utmakhanbetovich Umirbaev (on his 60th birthday)
    
    Uspekhi Mat. Nauk, 76:2(458) (2021),  187–192
72. School on mathematical logic and algorithmic problems of algebra
    
    Uspekhi Mat. Nauk, 34:3(207) (1979),  227–228