Symmetry breaking in graphs.
The chameleon groups of Richards J. Thompson: automorphisms and dynamics
The combinatorial derivation and its inverse mapping
Let G be a group and P G be the Boolean algebra of all subsets of G. A mapping Δ: P G → P G defined by Δ(A) = {g ∈ G: gA ∩ A is infinite} is called the combinatorial derivation. The mapping Δ can be considered as an analogue of the topological derivation d: P X→ P X, A ↦ A d, where X is a topological space and A d is the set of all limit points of A. We study the behaviour of subsets of G under action of Δ and its inverse mapping ∇. For example, we show that if G is infinite and I is an ideal in...
The five-group theorem
The minimizing of the Nielsen root classes
Given a map f: X→Y and a Nielsen root class, there is a number associated to this root class, which is the minimal number of points among all root classes which are H-related to the given one for all homotopies H of the map f. We show that for maps between closed surfaces it is possible to deform f such that all the Nielsen root classes have cardinality equal to the minimal number if and only if either N R[f]≤1, or N R[f]>1 and f satisfies the Wecken property. Here N R[f] denotes the Nielsen...
Topological components of spaces of representations.
Transitive permutation groups and groups with finite derived groups.
Transitivity of Permuation Groups on Unordered Sets.
Une famille infinie de formes quadratiques entières; leurs groupes d'automorphismes
Valuations in groups and rings
Алгоритмические вопросы для -степенных групп.
К теории квазимногообразий алгебраических систем.
Конечно-определенная группа, центр которой конечно-порожден.
Кручения Рейдемейстера и групповые инварианты трёхмерных многообразий
Новые типы правильных операций на группах
О группах, почти аппроксимируемых конечными -группами.
О некоторых структурных свойствах подполугрупп в группе
О расположении подгрупп, нормализуемых фиксированной
О структурных свойствах групповых пар
Об одной теореме Г.Хигмана.