On some systems of equations with constraints in a free group. (Sur certains systèmes d'équations avec contraintes dans un groupe libre.)
On split pairs of rank 1
On strictly sparse subsets of a free group.
On strong uniform dimension of locally finite groups
We give the description of locally finite groups with strongly balanced subgroup lattices and we prove that the strong uniform dimension of such groups exists. Moreover we show how to determine this dimension.
On subgroups of GL (n, A) which are generated by commutators. II.
On subgroups of GL2 over non-commutative local rings which are normalized by elementary matrices.
On subgroups of GLn (Fp).
On subgroups of the general linear group over the skew field of quaternions which contain the symplectic group.
On subnormal series with factors of finite rank : the join problem
On subnormal subgroups of linear groups.
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 Burnside problem for groups of even exponent.
On the Cantor-Bendixson rank of metabelian groups
We study the Cantor-Bendixson rank of metabelian and virtually metabelian groups in the space of marked groups, and in particular, we exhibit a sequence of 2-generated, finitely presented, virtually metabelian groups of Cantor-Bendixson rank .
On the centralizer of an automorphism of order 2 of the Burnside group .
On the character variety of group representations in SL (2, C) and PSL (2, C).
On the closed left ideals of the group algebra
On the combinatorics of permutations. (Zur Kombinatorik von Permutationen.)
On the Conjugacy Problem in a Free Product with Commuting Subgroups.