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.