Speciality:
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
