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, “Embeddings determined by universal words in the rank $2$ free group”, Siberian Math. J., 62:1 (2021), 123–130
2.
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
2018
3.
V. H. Mikaelian, “On the classification of varieties generated by wreath products of groups”, Izv. Math., 82:5 (2018), 1006–1018
2017
4.
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
2016
5.
Vahagn H. Mikaelian, “On some residual properties of the verbal embeddings of groups”, Advances in Group Theory and Applications, 1:1 (2016), 3–19
2015
6.
V. H. Mikaelian, “Varieties generated by wreath products of Abelian and nilpotent groups”, Algebra and Logic, 54:1 (2015), 70–73
2014
7.
Vahagn H. Mikaelian, “A Geometrical Interpretation of Infinite Wreath Powers,”, Algebra and Discrete Mathematics, 18:2 (2014), 250–267
2013
8.
Vahagn H. Mikaelian, Alexander Yu. Olshanskii, “On abelian subgroups of finitely generated metabelian groups”, Journal of Group Theory, 2 (2013), 695–705
9.
Vahagn H. Mikaelian, “Varieties Generated by Wreath Products of Abelian Groups”, Journal of Mathematical Sciences, 2013, 523–528
10.
Vahagn. H. Mikaelian, “Varieties Generated by Wreath Products of Abelian Groups”, J. Math. Sci. (Springer), 195:4 (2013), 523–528
V. H. Mikaelian, “On finitely generated soluble non-Hopfian groups”, J. Math. Sci., 166:6 (2010), 743–755
2008
12.
Vahagn H. Mikaelian, “SD-Groups and Embeddings”, Armen. J. Math., 2008, 23–42
2007
13.
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
14.
Vahagn H. Mikaelian, “Metabelian varieties of groups and wreath products of abelian groups”, Journal of Algebra, 313(2) (2007), 455–485
Vahagn H. Mikaelian, “On a problem on explicit embeddings of the group Q”, International Journal of Mathematics and Mathematical Sciences, 2005, 2119–2123
2004
16.
Vahagn H. Mikaelian, “On Normal Verbal Embeddings of Some Classes of Groups”, Beitrage zur Algebra und Geometrie, 45 (2004), 501–516
17.
Vahagn H. Mikaelian, “On embedding properties of SD-groups”, International Journal of Mathematics and Mathematical Sciences, 2004, 65–76
2003
18.
Vahagn H. Mikaelian, “Infinitely many not locally soluble $SI^*$-groups”, Ricerche di Matematica, 2003, 1–19
19.
Vahagn H. Mikaelian, “An Embedding Construction for Ordered Groups”, Journal of the Australian Mathematical Society, 74 (2003), 379–392
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 identities of extensions of abelian groups”, Dokladi National'noi Akademii Nauk Armenii, 1997, 20–23
1995
27.
Vahagn H. Mikaelian, “On identities of finite extensions of groups and extensions of finite groups”, Dokladi National'noi Akademii Nauk Armenii, 1995, 72–74
1993
28.
Vahagn H. Mikaelian, “On identities of finite extensions of groups”, Dokladi National'noi Akademii Nauk Armenii, 1993, 277–280
2021
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