On subgroups of GL (n, A) which are generated by commutators. II.
On subgroups of GLn (Fp).
On subnormal series with factors of finite rank : the join problem
On supersoluble groups acting on Klein surfaces.
On symmetric words in nilpotent groups.
On symmetric words in nilpotent groups
On tame automorphisms of some metabelian groups.
On the affine Weyl group of type .
On the algebraic structure of the unitary group.
We consider the unitary group U of complex, separable, infinite-dimensional Hilbert space as a discrete group. It is proved that, whenever U acts by isometries on a metric space, every orbit is bounded. Equivalently, U is not the union of a countable chain of proper subgroups, and whenever E ⊆ U generates U, it does so by words of a fixed finite length.
On the Automorphism Group of a Finite Group Having No Non-Identity Normal Subgroup of Odd Order.
On the automorphism group of a toroidal hypermap
On the automorphism of a class of 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 “Bruhat graph” of a Coxeter system
On the Burnside problem for groups of even exponent.
On the Burnside Problem for Periodic Groups.
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 dimension of 2-dimensional Bestvina-Brady groups.
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).