01.01.06 (Mathematical logic, algebra, and number theory)
Birth date:
16.04.1969
E-mail:
Keywords:
Normal and subnormal embeddings of groups,
embeddings into 2-generator groups,
verbal embeddings of groups,
Ordered groups,
embeddings into ordered and linearly ordered groups,
Wreath products,
wreath products of abelian groups,
extensions of groups with additional properties,
Varieties of groups,
problems of special identities of groups,
verbal subgroups,
varieties of infinite base rank,
Computer algebra.
UDC:
512.54
Subject:
1. Normal and subnormal embeddings of groups into groups with additional properties, embeddings into 2-generator groups, verbal embeddings of groups.
2. Ordered groups, embeddings into ordered and linearly ordered groups.
Wreath products, wreath products of abelian groups, extensions of groups with additional properties.
3. Varieties of groups, problems of special identities of groups, verbal subgroups, varieties of infinite base rank.
4. Computer algebra, its applications of group theory and general algebra.
Main publications:
V. H. Mikaelian, A. Yu. Olshanskii, “On abelian subgroups of finitely generated metabelian groups”, Journal of Group Theory, 16 (2013), 695–705
V. H. Mikaelian, “Metabelian varieties of groups and wreath products of abelian groups”, Journal of Algebra, 313:2 (2007), 455–485
V. H. Mikaelian, “On normal verbal embeddings of some classes of groups”, Contributions to Algebra and Geometry, 45:2 (2004), 501–516
V. H. Mikaelian, “An embedding construction for ordered groups”, Journal of the Australian Mathematical Society, 74 (2003), 379–392
V. H. Mikaelian, “Subnormal embedding theorems for groups”, Journal of the London Mathematical Society, 62:2 (2000), 398–406
V. H. Mikaelian, “The criterion of Shmel'kin and varieties generated by wreath products of finite groups”, Algebra and Logic, 56:2 (2017), 108–115
7.
V. H. Mikaelian, “Varieties generated by wreath products of Abelian and nilpotent groups”, Algebra and Logic, 54:1 (2015), 70–73
8.
V. H. Mikaelian, “On finitely generated soluble non-Hopfian groups”, J. Math. Sci., 166:6 (2010), 743–755
9.
Vahagn H. Mikaelian, “Two problems on varieties of groups generated by wreath products”, International Journal of Mathematics and Mathematical Sciences, 31 (2002), 65–75
Vahagn H. Mikaelian, “On some residual properties of the verbal embeddings of groups”, Advances in Group Theory and Applications, 1:1 (2016), 3–19
14.
Vahagn H. Mikaelian, “A Geometrical Interpretation of Infinite Wreath Powers,”, Algebra and Discrete Mathematics, 18:2 (2014), 250–267
15.
Vahagn H. Mikaelian, Alexander Yu. Olshanskii, “On abelian subgroups of finitely generated metabelian groups”, Journal of Group Theory, 2 (2013), 695–705
16.
Vahagn H. Mikaelian, “Varieties Generated by Wreath Products of Abelian Groups”, Journal of Mathematical Sciences, 2013, 523–528
17.
Vahagn H. Mikaelian, “SD-Groups and Embeddings”, Armen. J. Math., 2008, 23–42
18.
Vahagn H. Mikaelian, “On Finitely Generated Soluble Non-Hopfian Groups, an Application to a Problem of Neumann”, International Journal of Algebra and Computation, 2007, 1107–1113
19.
Vahagn H. Mikaelian, “On a problem on explicit embeddings of the group Q”, International Journal of Mathematics and Mathematical Sciences, 2005, 2119–2123
20.
Vahagn H. Mikaelian, “On Normal Verbal Embeddings of Some Classes of Groups”, Beitrage zur Algebra und Geometrie, 45 (2004), 501–516
21.
Vahagn H. Mikaelian, “On embedding properties of SD-groups”, International Journal of Mathematics and Mathematical Sciences, 2004, 65–76
22.
Vahagn H. Mikaelian, “Infinitely many not locally soluble $SI^*$-groups”, Ricerche di Matematica, 2003, 1–19
23.
Vahagn H. Mikaelian, “On wreath products of finitely generated abelian groups”, Advances in Group Theory, 2003, 13–24
24.
Vahagn H. Mikaelian, “On varieties of groups generated by wreath products of abelian groups”, Contemporary Mathematics, 2001, 223-238
25.
Vahagn H. Mikaelian, “On identities of extensions of abelian groups”, Dokladi National'noi Akademii Nauk Armenii, 1997, 20–23
26.
Vahagn H. Mikaelian, “On identities of finite extensions of groups and extensions of finite groups”, Dokladi National'noi Akademii Nauk Armenii, 1995, 72–74
27.
Vahagn H. Mikaelian, “On identities of finite extensions of groups”, Dokladi National'noi Akademii Nauk Armenii, 1993, 277–280
28.
K. K. Andreev, G. N. Arzhantseva, V. A. Artamonov, V. S. Atabekyan, I. N. Balaba, N. V. Bezverkhny, A. A. Vdovina, V. S. Guba, A. E. Guterman, G. S. Deryabina, N. M. Dobrovolsky, M. V. Zaicev, A. L. Kanunnikov, A. A. Klyachko, O. V. Kulikova, O. V. Markova, V. H. Mikaelyan, M. V. Milentyeva, A. E. Minasyan, K. V. Mikhailovsky, A. V. Mikhalev, A. E. Pankratiev, Yu. G. Prokhorov, Yu. S. Semenov, D. A. Timashev, V. N. Chubarikov, I. A. Chubarov, E. E. Shirshova, “Alexander Yuryevich Olshanskii (to the 75th anniversary)”, Chebyshevskii Sb., 22:2 (2021), 347–365
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