Persons: Atabekyan, Varuzhan Sergeevich

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Atabekyan, Varuzhan Sergeevich

Statistics
in MathSciNet:	29 (28)
in zbMATH:	25 (24)
in Web of Science:	30 (29)
in Scopus:	31 (31)

Professor

Doctor of physico-mathematical sciences

Speciality:

01.01.06 (Mathematical logic, algebra, and number theory)

E-mail:

https://www.mathnet.ru/eng/person27291

List of publications on Google Scholar

https://zbmath.org/authors/ai:atabekyan.varuzhan-s

https://mathscinet.ams.org/mathscinet/MRAuthorID/249340

https://elibrary.ru/author_items.asp?authorid=238550

List of scientific publications:

scientific publications

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	V. S. Atabekyan, A. A. Bayramyan, V. H. Mikaelian, A continuum of non-isomorphic 3-generator groups with probabilistic law $x^n=1$., 2025 (to appear) , 13 pp., arXiv: arXiv:2504.20591
2.	V. S. Atabekyan, V. H. Mikaelian, “On Benign Subgroups Constructed by Higman’s Sequence Building Operation”, Journal of Contemporary Mathematical Analysis, 59:1 (2024), 1-12
3.	V. S. Atabekyan, H. T. Aslanyan, “On the Total Dominating Set of 3/2-Generated Groups”, Armen. J. Math., 16:10 (2024), 1-7
4.	V. S. Atabekyan, A. A. Bayramyan, “Probabilistic Identities in n-Torsion Groups”, Journal of Contemporary Mathematical Analysis, 59:6 (2024), 455-459
5.	V.S. Atabekyan, “Central Extensions and Groups with Quotients Periodic Infinite”, Advances in Group Theory and Applications, 16 (2023), 67-79
6.	V. S. Atabekyan, G. G. Gevorgyan, “Central Extensions of n-Torsion Groups”, Journal of Contemporary Mathematical Analysis, 57:1 (2022), 26–34	1 ^[x]
7.	V. S. Atabekyan, H. T. Aslanyan, S. T. Aslanyan, “Powers of subsets in free periodic groups”, Uch. zapiski EGU, ser. Fizika i Matematika, 56:2 (2022), 43–48	1 ^[x]
8.	V, S. Atabekyan, V. H. Mikaelian, “On the Product of Subsets in Periodic Groups”, Journal of Contemporary Mathematical Analysis, 57:6 (2022), 395–398	1 ^[x]
9.	V. S. Atabekyan, L. D. Beklemishev, V. S. Guba, I. G. Lysenok, A. A. Razborov, A. L. Semenov, “Questions in algebra and mathematical logic. Scientific heritage of S. I. Adian”, Russian Math. Surveys, 76:1 (2021), 1–27
10.	K. K. Andreev, G. N. Arzhantseva, V. A. Artamonov, V. S. Atabekyan, I N. Balaba, N. V. Bezverkhnii, A. A. Vdovina, V. S. Guba, A. E. Guterman, G. S. Deryabina, N. M. Dobrovolskii, M. V. Zaitsev, A. L. Kanunnikov, A. A. Klyachko, O. V. Kulikova, O. V. Markova, V. G. Mikaelyan, M. V. Milenteva, A. E. Minasyan, K. V. Mikhailovskii, A. V. Mikhalev, A. E. Pankratev, Yu. G. Prokhorov, Yu. S. Semenov, D. A. Timashev, V. N. Chubarikov, I. A. Chubarov, E. E. Shirshova, “Aleksandr Yurevich Olshanskii (k 75-letiyu)”, Chebyshevskii sbornik, 22:2 (2021), 347-365
11.	S. I. Adian, V. S. Atabekyan, “Normal Automorphisms of Free Groups of Infinitely Based Varieties”, Math. Notes, 108:2 (2020), 149–154
12.	V. S. Atabekyan, “The set of 2-genereted $C^*$-simple relatively free groups has the cardinality of the continuum”, Proceedings of the YSU, Physical and Mathematical Sciences, 54:2 (2020), 81–86
13.	V. S. Atabekyan, H. T. Aslanyan, “On fixed points of automorphisms”, Proceedings of the YSU, Physical and Mathematical Sciences, 53:3 (2019), 147–149
14.	S. I. Adian, V. S. Atabekyan, “$n$-torsion Groups”, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 54:6 (2019), 319–327 https://link.springer.com/article/10.3103/S1068362319060013
15.	S. I. Adian, V. S. Atabekyan, “Central extensions of free periodic groups”, Sb. Math., 209:12 (2018), 1677–1689
16.	V. S. Atabekyan, H. T. Aslanyan, “The automorphisms of endomorphism semigroups of relatively free groups”, Int. J. Algebra Comput., 28:2 (2018), 207–215	2 ^[x]
17.	S. I. Adian, V. S. Atabekyan, “On free groups in the infinitely based varieties of S. I. Adian”, Izv. Math., 81:5 (2017), 889–900
18.	S. I. Adian, V. S. Atabekyan, “Periodic products of groups”, J. Contemp. Math. Anal., Armen. Acad. Sci., 52:3 (2017), 111–117
19.	V. S. Atabekyan, H. T. Aslanyan, H. A. Grigorian, A. E. Grigoryan, “Analogues of Nielsen’s and Magnus’s theorems for free Burnside groups of period $3$”, Proceedings of the YSU, Physical and Mathematical Sciences, 51:3 (2017), 217–223	3 ^[x]
20.	V. S. Atabekyan, A. L. Gevorgyan, Sh. A. Stepanyan, “The unique trace property of n-periodic product of groups.”, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 52:4 (2017), 161-165	1 ^[x]
21.	V. S. Atabekyan, H. T. Aslanyan, A. E. Grigoryan, “Normal automorphisms of free Burnside groups of period 3”, Armen. J. Math., 9:2 (2017), 60-67
22.	S. I. Adian, V. S. Atabekyan, “$C^*$-Simplicity of $n$-Periodic Products”, Math. Notes, 99:5 (2016), 631–635
23.	V. S. Atabekyan, “Automorphism groups and endomorphism semigroups of groups $B(m,n)$”, Algebra and Logic, 54:1 (2015), 58–62
24.	S. I. Adian, Varuzhan Atabekyan, “Characteristic properties and uniform non-amenability of $n$-periodic products of groups”, Izv. Math., 79:6 (2015), 1097–1110
25.	V. S. Atabekyan, “The automorphisms of endomorphism semigroups of free Burnside groups”, Int. J. Algebra Comput., 25:4 (2015), 669-674	3 ^[x]
26.	S. I. Adian, V. S. Atabekyan, “The Hopfian Property of $n$-Periodic Products of Groups”, Math. Notes, 95:4 (2014), 443–449
27.	V. S. Atabekyan, “Splitting Automorphisms of Order $p^k$ of Free Burnside Groups are Inner”, Math. Notes, 95:5 (2014), 586–589
28.	V. S. Atabekyan, “Splitting automorphisms of free Burnside groups”, Sb. Math., 204:2 (2013), 182–189
29.	V. S. Atabekyan, “The automorphism tower problem for free periodic groups”, Proceedings of the YSU, Physical and Mathematical Sciences, 2013, no. 2, 3–7	1 ^[x]
30.	V. S. Atabekyan, “The groups of automorphisms are complete for free Burnside groups of odd exponents $n\ge 1003$”, International Journal of Algebra and Computation, 23:6 (2013), 1485-1496	5 ^[x]
31.	V. S. Atabekyan, “Normal automorphisms of free Burnside groups”, Izv. Math., 75:2 (2011), 223–237
32.	V. S. Atabekyan, “On normal subgroups in the periodic products of S. I. Adian”, Proc. Steklov Inst. Math., 274 (2011), 9–24
33.	V. S. Atabekyan, “Splitting automorphisms of free Burnside groups”, Proceedings of the YSU, Physical and Mathematical Sciences, 2011, no. 3, 62–64	1 ^[x]
34.	V. S. Atabekyan, A. L. Gevorgyan, “On outer normal automorphisms of periodic products of groups”, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 46:5 (2011), 289-292 $http://mi.mathnet.ru/{http://www.mathnet.ru/php/person.phtml?option_lang=rus&personid=27291$
35.	V. S. Atabekyan, “Nonunitarizable Periodic Groups”, Math. Notes, 87:6 (2010), 908–911
36.	V. S. Atabekyan, “The normalizers of free subgroups in free Burnside groups of odd period $n\ge1003$”, J. Math. Sci., 166:6 (2010), 691–703
37.	V. S. Atabekian, “On subgroups of free Burnside groups of odd exponent $n\ge 1003$”, Izv. Math., 73:5 (2009), 861–892
38.	V. S. Atabekyan, “Monomorphisms of Free Burnside Groups”, Math. Notes, 86:4 (2009), 457–462
39.	V. S. Atabekyan, “Uniform Nonamenability of Subgroups of Free Burnside Groups of Odd Period”, Math. Notes, 85:4 (2009), 496–502
40.	V. S. Atabekyan, A. S. Pahlevanyan, “Embedding of absolutely free groups into groups $B(m,n,1)$”, Proceedings of the YSU, Physics & Mathematics, 2008, no. 3, 25–33
41.	V. S. Atabekyan, “On Periodic Groups of Odd Period $n\ge1003$”, Math. Notes, 82:4 (2007), 443–447
42.	V. S. Atabekyan, “Spaces with limit operation”, Proceedings of the YSU, Physics & Mathematics, 2005, no. 2, 5–10
43.	V. S. Atabekyan, “About the construction of defining relation in free periodic groups”, Proceedings of the YSU, Physics & Mathematics, 2003, no. 3, 30–35
44.	V. S. Atabekyan, “The Euclidean algorithm for whole quaternions and the Lagrange theorem”, Proceedings of the YSU, Physical and Mathematical Sciences, 1993, no. 1, 125–127
45.	V. S. Atabekyan, “Simple and free periodic groups”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1987, no. 6, 76–78
46.	V.S. Atabekyan, “Սերգեյ Ադյան։ Կյանք նվիրված մաթեմատիկային (Sergei Adyan: Zhizn posvschennaya matematike)”, Գիտության աշխարհում (V mire nauki), 2023, no. 1, 31-35 chrome-extension://efaidnbmnnnibpcajpcglclefindmkaj/https://www.isec.am/images/gitutyan_ashxarh/2023/231121_140828_Gitashxarhum_2023_1.pdf
47.	V. S. Atabekyan, L. D. Beklemishev, V. M. Buchstaber, S. S. Goncharov, V. S. Guba, Yu. L. Ershov, V. V. Kozlov, I. G. Lysenok, S. P. Novikov, Yu. S. Osipov, M. R. Pentus, V. V. Podolskii, A. A. Razborov, V. A. Sadovnichii, A. L. Semenov, A. L. Talambutsa, D. V. Treschev, L. N. Shevrin, “Sergei Ivanovich Adian (obituary)”, Russian Math. Surveys, 76:1 (2021), 177–181

Presentations in Math-Net.Ru

1.	Группы с n-кручением, их расширения и эндоморфизмы V. S. Atabekyan Adian 90: Conference on Mathematical Logic, Algebra, and Computation July 5, 2021 17:00
2.	On periodic products and varieties of S.I.Adian V. S. Atabekyan S. I. Adian Memorial Conference May 27, 2020 18:15
3.	n-torsion groups V. S. Atabekyan "Geometric group theory" November 21, 2019 17:15
4.	Периодические произведения групп V. S. Atabekyan Mathematical Logic, Algebra and Computation: A two-day conference dedicated to 85-th anniversary of S. I. Adian July 18, 2016 11:00
5.	О хопфовости $n$-периодических произведений групп S. I. Adian, Varuzhan Atabekyan "Algorithmic problems in algebra and logic" (S.I.Adian seminar) November 12, 2013 18:30

Organisations