Periodic groups and wreath products of groups. Structural questions
Ministry of Education and Science of RA, State Committee of Science Contracts (thematic) funding competition in 2015, a field, Mathematics

Short description

It is planned to prove that the amenable radical of the n-periodic product of arbitrary cyclic groups is trivial, to show that the n-periodic product of countably many cyclic groups has countably many amenable subgroups, hence to deduce that the n-periodic product of countably many non-trivial cyclic groups is a C*-simple group, by this way to construct a continuum of non-isomorphic simple and at the same time C*-simple groups that do not contain subgroups isomorphic to a free group of rank 2, to find out whether the S. Adyan’s groups A (m, n) are complete for odd n≥1003, to describe the groupс of automorphisms of the semigroups End (A (m, n)), in particular to find out whether it is isomorphic to the free Burnside group B (m, n), to explore the equality of group varieties var (A Wr B) = var (A) var (B) for wreath products of nilpotent and abelian groups, to investigate the possibility of verbal embeddings for residually finite, residually soluble and residualy nilpotent groups. We will attempt to characterize the finitely generated free distributive bilattices and characterize Boule-de Morgan bilattices.

Project Manager
Varuzhan S. Atabekyan, Doctor of Phys. Math. Sciences, Professor.

Staff members

Vahagn H. Mikaelian, Doctor of Phys. Math. Sciences, Professor,
Yuri M. Movsisyan, Doctor of Phys. Math. Sciences, Professor,
Amirjan L. Gevorgyan, Candidate of Phys. Math. Sciences (PhD),
Artur Y. Grigoryan, Candidate of Phys. Math. Sciences (PhD)

Tel.: (+374 55) 093455
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