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Roman'kov, Vitalii Anatol'evich
(1948–2023)
Statistics Math-Net.Ru
Total publications: 72
Scientific articles: 69
Presentations: 4

Number of views:
This page:7804
Abstract pages:20075
Full texts:7982
References:2562
Professor
Doctor of physico-mathematical sciences

https://www.mathnet.ru/eng/person19572
https://ru.wikipedia.org/wiki/Romankov,_Vitalii_Anatolevich
List of publications on Google Scholar
https://zbmath.org/authors/ai:romankov.vitaly-a
https://mathscinet.ams.org/mathscinet/MRAuthorID/344494
https://orcid.org/0000-0001-8713-7170

Publications in Math-Net.Ru Citations
2024
1. A. L. Evtyagin, V. A. Roman'kov, “Embeddings of partially commutative nilpotent groups”, Mat. Zametki, 116:2 (2024),  236–244  mathnet; Math. Notes, 116:2 (2024), 258–264  scopus
2023
2. V. A. Roman'kov, “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  mathnet  mathscinet  zmath; Izv. Math., 87:4 (2023), 798–816  isi  scopus 3
3. V. A. Roman'kov, “Embedding of Free Nilpotent (Metabelian) Groups in Partially Commutative Nilpotent (Metabelian) Groups”, Mat. Zametki, 114:5 (2023),  773–779  mathnet  mathscinet; Math. Notes, 114:5 (2023), 914–919  scopus 1
4. S. K. Voloshin, V. A. Roman'kov, “Discrete differentiations and integrations and their possible applications to algebra and cryptography”, Prikl. Diskr. Mat., 2023, no. 61,  5–14  mathnet
5. V. A. Roman'kov, “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  mathnet
2022
6. N. G. Khisamiev, V. A. Roman'kov, S. D. Tynybekova, “A criterion for effective complete decomposability of abelian groups”, Eurasian Math. J., 13:2 (2022),  62–69  mathnet  mathscinet
7. Vitaly A. Roman'kov, “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  mathnet
8. V. A. Roman'kov, “Superpositions of free Fox derivations”, Prikl. Diskr. Mat., 2022, no. 56,  28–32  mathnet 1
9. V. A. Roman'kov, “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  mathnet  mathscinet 2
2021
10. V. A. Roman'kov, “Solvability of Independent Systems of Equations in Finitely Generated Nilpotent Groups”, Mat. Zametki, 110:4 (2021),  569–575  mathnet  elib; Math. Notes, 110:4 (2021), 560–564  isi  scopus
11. V. A. Roman'kov, “Algorithmic theory of solvable groups”, Prikl. Diskr. Mat., 2021, no. 52,  16–64  mathnet  isi  elib 3
12. V. A. Roman'kov, “An improvement of cryptographic schemes based on the conjugacy search problem”, Prikl. Diskr. Mat. Suppl., 2021, no. 14,  114–118  mathnet  elib
2020
13. V. A. Roman'kov, “Two problems for solvable and nilpotent groups”, Algebra Logika, 59:6 (2020),  719–733  mathnet; Algebra and Logic, 59:6 (2021), 483–492  isi  scopus 4
14. V. A. Roman'kov, E. I. Timoshenko, “Verbally closed subgroups of free solvable groups”, Algebra Logika, 59:3 (2020),  367–384  mathnet; Algebra and Logic, 59:3 (2020), 253–265  isi  scopus 3
15. V. A. Roman'kov, “On the stabilizer of a column in a matrix group over a polynomial ring”, Prikl. Diskr. Mat., 2020, no. 48,  34–42  mathnet  isi  elib
16. V. A. Roman'kov, “About the hidden compact way to store data”, Prikl. Diskr. Mat. Suppl., 2020, no. 13,  56–59  mathnet  elib 2
17. V. A. Roman'kov, “Primitive elements and automorphisms of the free metabelian group of rank $3$”, Sib. Èlektron. Mat. Izv., 17 (2020),  61–76  mathnet  isi 2
2019
18. V. A. Roman'kov, “Discrete logarithm for nilpotent groups and cryptanalysis of polylinear cryptographic system”, Prikl. Diskr. Mat. Suppl., 2019, no. 12,  154–160  mathnet  elib
19. V. A. Roman'kov, “Efficient methods of algebraic cryptanalysis and protection against them”, Prikl. Diskr. Mat. Suppl., 2019, no. 12,  117–125  mathnet  elib
2018
20. V. A. Roman'kov, “Rationality of verbal subsets in solvable groups”, Algebra Logika, 57:1 (2018),  57–72  mathnet; Algebra and Logic, 57:1 (2018), 39–48  isi  scopus 3
21. V. A. Roman'kov, A. A. Obzor, “A nonlinear decomposition method in analysis of some encryption schemes using group automorphisms”, Prikl. Diskr. Mat., 2018, no. 41,  38–45  mathnet  elib 1
2017
22. V. A. Roman'kov, “Solvability of equations in classes of solvable groups and Lie algebras”, Algebra Logika, 56:3 (2017),  375–381  mathnet  mathscinet; Algebra and Logic, 56:3 (2017), 251–255  isi  scopus
23. V. A. Roman'kov, A. A. Obzor, “General algebraic cryptographic key exchange scheme and its cryptanalysis”, Prikl. Diskr. Mat., 2017, no. 37,  52–61  mathnet 4
24. V. A. Roman'kov, “On solvability of regular equations in the variety of metabelian groups”, Prikl. Diskr. Mat., 2017, no. 36,  51–58  mathnet  isi 2
25. V. A. Roman'kov, N. G. Khisamiev, A. A. Konyrkhanova, “Algebraically and verbally closed subgroups and retracts of finitely generated nilpotent groups”, Sibirsk. Mat. Zh., 58:3 (2017),  686–699  mathnet  elib; Siberian Math. J., 58:3 (2017), 536–545  isi  elib  scopus 4
2016
26. V. A. Roman'kov, “On solvability of equations with endomorphisms in nilpotent groups”, Sib. Èlektron. Mat. Izv., 13 (2016),  716–725  mathnet 1
27. V. A. Roman'kov, “The commutator width of some relatively free Lie algebras and nilpotent groups”, Sibirsk. Mat. Zh., 57:4 (2016),  866–888  mathnet  elib; Siberian Math. J., 57:4 (2016), 679–695  isi  elib  scopus 5
2015
28. V. A. Roman'kov, “Linear decomposition method in analyzing hidden information protocols on algebraic platforms”, Algebra Logika, 54:1 (2015),  119–128  mathnet  mathscinet; Algebra and Logic, 54:1 (2015), 81–87  isi  scopus 2
29. V. A. Romankov, “A semantically secure public-key cryptosystem based on RSA”, Prikl. Diskr. Mat., 2015, no. 3(29),  32–40  mathnet 1
30. M. N. Gornova, E. G. Kukina, V. A. Romankov, “Cryptanalysis of Ushakov–Shpilrain's authentication protocol based on the twisted conjugacy problem”, Prikl. Diskr. Mat., 2015, no. 2(28),  46–53  mathnet 5
2014
31. V. A. Roman'kov, N. G. Khisamiev, “Existentially closed subgroups of free nilpotent groups”, Algebra Logika, 53:1 (2014),  45–59  mathnet  mathscinet; Algebra and Logic, 53:1 (2014), 29–38  isi  scopus 1
32. V. A. Roman'kov, “Cryptanalysis of a Diffie–Hellman's scheme analogue using conjugation and exponentiation on matrix platform”, Prikl. Diskr. Mat. Suppl., 2014, no. 7,  56–58  mathnet
2013
33. V. A. Roman'kov, N. G. Khisamiev, “Verbally and existentially closed subgroups of free nilpotent groups”, Algebra Logika, 52:4 (2013),  502–525  mathnet  mathscinet; Algebra and Logic, 52:4 (2013), 336–351  isi  scopus 12
34. Vitaly A. Roman'kov, “The linearity problem for the unitriangular automorphism groups of free groups”, J. Sib. Fed. Univ. Math. Phys., 6:4 (2013),  516–520  mathnet
35. V. A. Romankov, “Cryptanalysis of some schemes applying automorphisms”, Prikl. Diskr. Mat., 2013, no. 3(21),  35–51  mathnet 11
2012
36. V. A. Roman'kov, “The local structure of groups of triangular automorphisms of relatively free algebras”, Algebra Logika, 51:5 (2012),  638–651  mathnet  mathscinet  zmath; Algebra and Logic, 51:5 (2012), 425–434  isi  scopus 1
37. S. Y. Erofeev, V. A. Romankov, “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  mathnet
38. V. A. Romankov, “Diophantine cryptography over infinite groups”, Prikl. Diskr. Mat., 2012, no. 2(16),  15–42  mathnet 6
39. S. Yu. Erofeev, V. A. Roman'kov, “On the groups of unitriangular automorphisms of relatively free groups”, Sibirsk. Mat. Zh., 53:5 (2012),  991–1000  mathnet  mathscinet; Siberian Math. J., 53:5 (2012), 792–799  isi  scopus 1
2011
40. S. Y. Erofeev, V. A. Romankov, “Constructing of one-way functions based on undecidability of the endomorphism problem in groups”, Prikl. Diskr. Mat., 2011, no. supplement № 4,  32–33  mathnet
41. V. A. Roman'kov, “On the derived series of some groups”, Sibirsk. Mat. Zh., 52:2 (2011),  441–445  mathnet  mathscinet; Siberian Math. J., 52:2 (2011), 348–351  isi  scopus
2009
42. E. Ventura, V. A. Roman'kov, “The twisted conjugacy problem for endomorphisms of metabelian groups”, Algebra Logika, 48:2 (2009),  157–173  mathnet  mathscinet  zmath  elib; Algebra and Logic, 48:2 (2009), 89–98  isi  elib  scopus 6
43. A. N. Kabanov, V. A. Roman'kov, “Strictly nontame primitive elements of the free metabelian Lie algebra of rank 3”, Sibirsk. Mat. Zh., 50:1 (2009),  82–95  mathnet  mathscinet; Siberian Math. J., 50:1 (2009), 66–76  isi  scopus 2
2007
44. V. A. Roman'kov, “Asymptotic growth of averaged Dehn functions for nilpotent groups”, Algebra Logika, 46:1 (2007),  60–74  mathnet  mathscinet  zmath; Algebra and Logic, 46:1 (2007), 37–45  isi  scopus 7
45. O. V. Grigorenko, V. A. Roman'kov, “On existence of the universal rational structures for groups”, Sib. Èlektron. Mat. Izv., 4 (2007),  52–63  mathnet  mathscinet  zmath
2005
46. V. A. Roman'kov, “Subcubic growth of the averaged Dehn function for a class 2 nilpotent group”, Sibirsk. Mat. Zh., 46:3 (2005),  663–672  mathnet  mathscinet  zmath; Siberian Math. J., 46:3 (2005), 527–534  isi 1
2004
47. V. A. Roman'kov, N. G. Khisamiev, “Constructible Matrix Groups”, Algebra Logika, 43:5 (2004),  603–613  mathnet  mathscinet  zmath; Algebra and Logic, 43:5 (2004), 339–345  scopus 7
48. V. A. Roman'kov, N. G. Khisamiev, “Constructive Matrix and Orderable Groups”, Algebra Logika, 43:3 (2004),  353–363  mathnet  mathscinet  zmath; Algebra and Logic, 43:3 (2004), 198–204  scopus 7
49. V. A. Roman'kov, I. V. Chirkov, M. A. Shevelin, “Nonlinearity of the automorphism groups of some free algebras”, Sibirsk. Mat. Zh., 45:5 (2004),  1184–1188  mathnet  mathscinet  zmath; Siberian Math. J., 45:5 (2004), 974–977  isi 9
50. V. A. Roman'kov, “The inverse function theorem for free associative algebras”, Sibirsk. Mat. Zh., 45:5 (2004),  1178–1183  mathnet  mathscinet  zmath; Siberian Math. J., 45:5 (2004), 969–973  isi 2
2003
51. E. G. Kukina, V. A. Roman'kov, “Subquadratic growth of the averaged Dehn function for free Abelian groups”, Sibirsk. Mat. Zh., 44:4 (2003),  772–778  mathnet  mathscinet  zmath; Siberian Math. J., 44:4 (2003), 605–610  isi 12
2001
52. V. A. Roman'kov, “Test Elements for Free Solvable Groups of Rank 2”, Algebra Logika, 40:2 (2001),  192–201  mathnet  mathscinet  zmath; Algebra and Logic, 40:1 (2001), 106–111 10
1995
53. V. A. Roman'kov, “The Tennant-Turner swap conjecture”, Algebra Logika, 34:4 (1995),  448–463  mathnet  mathscinet 7
1993
54. V. A. Roman'kov, “Infinite generation of automorphism groups of free pro-$p$ groups”, Sibirsk. Mat. Zh., 34:4 (1993),  153–159  mathnet  mathscinet  zmath; Siberian Math. J., 34:4 (1993), 727–732  isi 8
1992
55. V. A. Roman'kov, “Generating elements of groups of automorphisms of free metabelian pro-$p$-groups”, Sibirsk. Mat. Zh., 33:5 (1992),  145–158  mathnet  mathscinet  zmath; Siberian Math. J., 33:5 (1992), 878–890  isi 4
1991
56. V. A. Roman'kov, “Primitive elements of free groups of rank 3”, Mat. Sb., 182:7 (1991),  1074–1085  mathnet  mathscinet  zmath; Math. USSR-Sb., 73:2 (1992), 445–454  isi 11
1983
57. V. N. Remeslennikov, V. A. Roman'kov, “Model-theoretic and algorithmic questions of group theory”, Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 21 (1983),  3–79  mathnet  mathscinet  zmath; J. Soviet Math., 31:3 (1985), 2887–2939 20
58. V. A. Roman'kov, “Normal automorphisms of discrete groups”, Sibirsk. Mat. Zh., 24:4 (1983),  138–149  mathnet  mathscinet  zmath; Siberian Math. J., 24:4 (1983), 604–614  isi 11
1982
59. V. A. Roman'kov, “The width of verbal subgroups of solvable groups”, Algebra Logika, 21:1 (1982),  60–72  mathnet  mathscinet 8
1979
60. G. A. Noskov, V. N. Remeslennikov, V. A. Roman'kov, “Infinite groups”, Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 17 (1979),  65–157  mathnet  mathscinet  zmath; J. Soviet Math., 18:5 (1982), 669–735 14
61. V. A. Roman'kov, “Universal theory of nilpotent groups”, Mat. Zametki, 25:4 (1979),  487–495  mathnet  mathscinet  zmath; Math. Notes, 25:4 (1979), 253–258 8
62. V. A. Roman'kov, “Equations in free metabelian groups”, Sibirsk. Mat. Zh., 20:3 (1979),  671–673  mathnet  mathscinet  zmath; Siberian Math. J., 20:3 (1979), 469–471  isi 25
1977
63. V. A. Roman'kov, “Unsolvability of the problem of endomorphic reducibility in free nilpotent groups and in free rings”, Algebra Logika, 16:4 (1977),  457–471  mathnet  mathscinet 18
1976
64. V. A. Roman'kov, “Imbedding of certain wreath products in the groups of automorphisms of finitely generated solvable groups”, Algebra Logika, 15:3 (1976),  300–307  mathnet  mathscinet
1974
65. G. A. Noskov, V. A. Roman'kov, “Nilpotent groups that have similar automorphism groups”, Algebra Logika, 13:5 (1974),  534–543  mathnet  mathscinet 1
1973
66. V. A. Roman'kov, “An embedding theorem for polycyclic groups”, Mat. Zametki, 14:5 (1973),  741–744  mathnet  mathscinet; Math. Notes, 14:5 (1973), 983–984 2
1972
67. V. A. Roman'kov, “Embedding theorems for nilpotent groups”, Sibirsk. Mat. Zh., 13:4 (1972),  859–867  mathnet  mathscinet  zmath; Siberian Math. J., 13:4 (1972), 597–603 3
1970
68. V. A. Roman'kov, “Nondistributivity of the lattice of varieties of nilpotent groups”, Algebra Logika, 9:1 (1970),  67–72  mathnet  mathscinet
1969
69. M. I. Kargapolov, V. N. Remeslennikov, N. S. Romanovskii, V. A. Roman'kov, V. A. Churkin, “Algorithmic questions for $\sigma $-powered groups”, Algebra Logika, 8:6 (1969),  643–659  mathnet  mathscinet 6
2022
70. Yu. L. Ershov, S. S. Goncharov, V. D. Mazurov, V. G. Bardakov, N. V. Bayanova, V. V. Bludov, L. A. Bokut', S. V. Varaksin, A. V. Vasil'ev, E. P. Vdovin, M. A. Grechkoseeva, A. V. Zenkov, P. S. Kolesnikov, L. L. Maksimova, I. A. Mal'tsev, A. S. Morozov, N. A. Peryazev, A. G. Pinus, K. N. Ponomarev, A. M. Popova, V. N. Remeslennikov, V. A. Roman'kov, N. S. Romanovskii, E. I. Timoshenko, V. A. Churkin, I. P. Shestakov, “In memory of Valeriy Matveevich Kopytov”, Algebra Logika, 61:6 (2022),  I–IV  mathnet
2021
71. V. A. Artamonov, V. S. Drenski, Yu. L. Ershov, M. V. Zaitsev, E. I. Zelmanov, T. Sh. Kal'menov, L. G. Makar-Limanov, A. A. Mikhalëv, A. V. Mikhalëv, V. N. Remeslennikov, N. S. Romanovskii, V. A. Roman'kov, I. P. Shestakov, “Ualbai Utmakhanbetovich Umirbaev (on his 60th birthday)”, Uspekhi Mat. Nauk, 76:2(458) (2021),  187–192  mathnet  mathscinet  zmath; Russian Math. Surveys, 76:2 (2021), 373–378  isi
1979
72. G. P. Kykin, V. A. Roman'kov, “School on mathematical logic and algorithmic problems of algebra”, Uspekhi Mat. Nauk, 34:3(207) (1979),  227–228  mathnet

Presentations in Math-Net.Ru
1. Group-based cryptography: Age of Innocence. A linear decomposition attack
V. A. Roman'kov
Omsk Algebraic Seminar
April 18, 2013
2. Вербально и экзистенциально замкнутые подгруппы свободных нильпотентных групп
V. A. Roman'kov
Omsk Algebraic Seminar
April 4, 2013
3. О локальных свойствах групп унитреугольных автоморфизмов некоторых относительно свободных алгебр
V. A. Roman'kov
Omsk Algebraic Seminar
February 16, 2012 16:00
4. Вербально замкнутые подгруппы свободных групп
V. A. Roman'kov
Omsk Algebraic Seminar
September 29, 2011 16:00

Organisations
 
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