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”, Sibirsk. Mat. Zh., 62:1 (2021), 154–163

2.

V. H. Mikaelian, “On the classification of varieties generated by wreath products of groups”, Izv. Math., 82:5 (2018), 1006–1018 (cited: 1) (cited: 1)

3.

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 (cited: 3) (cited: 4)

4.

Vahagn H. Mikaelian, “On some residual properties of the verbal embeddings of groups”, Advances in Group Theory and Applications, 1:1 (2016), 3–19

5.

V. H. Mikaelian, “Varieties generated by wreath products of Abelian and nilpotent groups”, Algebra and Logic, 54:1 (2015), 70–73 (cited: 3)

6.

Vahagn H. Mikaelian, “A Geometrical Interpretation of Infinite Wreath Powers,”, Algebra and Discrete Mathematics, 18:2 (2014), 250–267

7.

Vahagn H. Mikaelian, Alexander Yu. Olshanskii, “On abelian subgroups of finitely generated metabelian groups”, Journal of Group Theory, 2 (2013), 695–705

8.

Vahagn H. Mikaelian, “Varieties Generated by Wreath Products of Abelian Groups”, Journal of Mathematical Sciences, 2013, 523–528

9.

Vahagn. H. Mikaelian, “Varieties Generated by Wreath Products of Abelian Groups”, J. Math. Sci. (Springer), 195:4 (2013), 523–528 (cited: 1)

10.

V. H. Mikaelian, “On finitely generated soluble non-Hopfian groups”, J. Math. Sci., 166:6 (2010), 743–755 (cited: 2)

11.

Vahagn H. Mikaelian, “SD-Groups and Embeddings”, Armen. J. Math., 2008, 23–42

12.

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

13.

Vahagn H. Mikaelian, “Metabelian varieties of groups and wreath products of abelian groups”, Journal of Algebra, 313(2) (2007), 455–485 (cited: 7)

14.

Vahagn H. Mikaelian, “On a problem on explicit embeddings of the group Q”, International Journal of Mathematics and Mathematical Sciences, 2005, 2119–2123

15.

Vahagn H. Mikaelian, “On Normal Verbal Embeddings of Some Classes of Groups”, Beitrage zur Algebra und Geometrie, 45 (2004), 501–516

16.

Vahagn H. Mikaelian, “On embedding properties of SD-groups”, International Journal of Mathematics and Mathematical Sciences, 2004, 65–76

17.

Vahagn H. Mikaelian, “Infinitely many not locally soluble $SI^*$-groups”, Ricerche di Matematica, 2003, 1–19

18.

Vahagn H. Mikaelian, “An Embedding Construction for Ordered Groups”, Journal of the Australian Mathematical Society, 74 (2003), 379–392

19.

Vahagn H. Mikaelian, “On wreath products of finitely generated abelian groups”, Advances in Group Theory, 2003, 13–24

20.

Vahagn H. Mikaelian, “On Embeddings of Countable Generalized Soluble Groups into Two-Generated Groups”, Journal of Algebra, 250 (2002), 1–17 (cited: 12)

21.

Vahagn H. Mikaelian, “Two problems on varieties of groups generated by wreath products”, International Journal of Mathematics and Mathematical Sciences, 31 (2002), 65–75 (cited: 2)

22.

Vahagn H. Mikaelian, “On varieties of groups generated by wreath products of abelian groups”, Contemporary Mathematics, 2001, 223-238

23.

Vahagn H. Mikaelian, “Subnormal embedding theorems for groups”, Journal of the London Mathematical Society, 62 (2000), 398–406 (cited: 14)

24.

H. Heineken, V. H. Mikaelian, “On normal verbal embeddings of groups”, Journal of Mathematical Sciences, 2000, 1915–1924 (cited: 9)

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