On Engel-like congruences
On factor coverings of groups
On Levi quasivarieties generated by nilpotent groups.
On normal verbal embeddings of some classes of groups.
On one-relator soluble groups.
On radical classes of Abelian linearly ordered groups
On some systems of equations with constraints in a free group. – Addenda. (Sur certains systèmes d'équations avec constraintes dans un groupe libre. – Addenda.)
On some systems of equations with constraints in a free group. (Sur certains systèmes d'équations avec contraintes dans un groupe libre.)
On subsemigroup lattices of aperiodic groups.
On tame automorphisms of some metabelian groups.
On the Boffa alternative
Let G* denote a nonprincipal ultrapower of a group G. In 1986 M.~Boffa posed a question equivalent to the following one: if G does not satisfy a positive law, does G* contain a free nonabelian subsemigroup? We give the affirmative answer to this question in the large class of groups containing all residually finite and all soluble groups, in fact, all groups considered in traditional textbooks on group theory.
On the group of reduced identities of relatively free solvable groups.
On the maximum and minimum chain conditions for the "largeness" ordering on the class of groups.
On universal theories of metabelian groups and the Shmel'kin embedding.
On varieties of completely regular semigroups II.
On varieties of completely regular semigroups III.
RECOGNIZABLE LANGUAGES AND FINITE SEMILATTICES OF GROUPS.
Relative commutator associated with varieties of -nilpotent and of -solvable groups
In this note we determine explicit formulas for the relative commutator of groups with respect to the subvarieties of -nilpotent groups and of -solvable groups. In particular these formulas give a characterization of the extensions of groups that are central relatively to these subvarieties.
Remarks on Varieties of Topological Groups
Representations of Certain Verbal Wreath Products by Matrices.