-свободные группы.
A Bers-like proof of the existence of train tracks for free group automorphisms
Using Lipschitz distance on Outer space we give another proof of the train track theorem.
A free group acting without fixed points on the rational unit sphere
A free group of piecewise linear transformations
We prove the following conjecture of J. Mycielski: There exists a free nonabelian group of piecewise linear, orientation and area preserving transformations which acts on the punctured disk {(x,y) ∈ ℝ²: 0 < x² + y² < 1} without fixed points.
A locally commutative free group acting on the plane
The purpose of this paper is to prove the existence of a free subgroup of the group of all affine transformations on the plane with determinant 1 such that the action of the subgroup is locally commutative.
A Non-free Parafree Group All of Whose Countable Subgroups are Free.
A note on the continuous extensions of injective morphisms between free groups to relatively fre profinite groups.
Let V be a pseudovariety of finite groups such that free groups are residually V, and let φ: F(A) → F(B) be an injective morphism between finitely generated free groups. We characterize the situations where the continuous extension φ' of φ between the pro-V completions of F(A) and F(B) is also injective. In particular, if V is extension-closed, this is the case if and only if φ(F(A)) and its pro-V closure in F(B) have the same rank. We examine a number of situations where the injectivity of φ' can...
A radical for free groups
A Short Proof of a Theorem of Burns.
Abelova cena v roce 2008 udělena za objevy v teorii neabelovských grup
Algèbres de Lie et pro-p-groupes définis par une seule relation.
An approach to automorphisms of free groups and braids via transvections.
An identity generator: basic commutators.
Applications of Topological Graph Theory for Group Theory.
Aspherical Group Presentations.
Automorphisms of free groups and their fixed points.
Automorphisms of free groups with boundaries.
Berichtigung zu der Arbeit "Gleichungen in freien Produkten mit Amalgan".
Brunnian links
A Brunnian link is a set of n linked loops such that every proper sublink is trivial. Simple Brunnian links have a natural algebraic representation. This is used to determine the form, length and number of minimal simple Brunnian links. Braids are used to investigate when two algebraic words represent equivalent simple Brunnian links that differ only in the arrangement of the component loops.
Canonical bases for normal subgroups of finitely generated free groups with finite abelian factor groups.