On soluble groups in which centralizers are finitely generated
On some center-like subsets of groups.
On some elementary properties of soluble groups of derived length 2.
On some properties of pronormal subgroups
New results on tight connections among pronormal, abnormal and contranormal subgroups of a group have been established. In particular, new characteristics of pronormal and abnormal subgroups have been obtained.
On some soluble groups in which -subgroups form a lattice
The article is dedicated to groups in which the set of abnormal and normal subgroups (-subgroups) forms a lattice. A complete description of these groups under the additional restriction that every counternormal subgroup is abnormal is obtained.
On some subgroup chains related to Kneser’s theorem
A recent result of Balandraud shows that for every subset of an abelian group there exists a non trivial subgroup such that holds only if . Notice that Kneser’s Theorem only gives .This strong form of Kneser’s theorem follows from some nice properties of a certain poset investigated by Balandraud. We consider an analogous poset for nonabelian groups and, by using classical tools from Additive Number Theory, extend some of the above results. In particular we obtain short proofs of Balandraud’s...
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 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 subsemigroup lattices of aperiodic 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 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 Conjugacy Problem in a Free Product with Commuting Subgroups.
On the existence of -local subgroups in a group.