Faithful integral and modular representations of the Klein bottle group
Fibred and virtually fibred hyperbolic 3-manifolds in the censuses.
Finitely Presented Subgroups of Three-Manifold Groups.
Five dimensional Bieberbach groups with trivial centre.
Folding on the Cartesian product of manifolds and their fundamental group.
Folding on the wedge sum of graphs and their fundamental group.
Foliations of Codimension 2 with all Leaves Compact on Closed 3-, 4-, and 5-Manifolds.
Formal language theory and the geometry of 3-manifolds.
Fox pairings and generalized Dehn twists
We introduce a notion of a Fox pairing in a group algebra and use Fox pairings to define automorphisms of the Malcev completions of groups. These automorphisms generalize to the algebraic setting the action of the Dehn twists in the group algebras of the fundamental groups of surfaces. This work is inspired by the Kawazumi–Kuno generalization of the Dehn twists to non-simple closed curves on surfaces.
Framed Links for Pfeiffer Identities.
Free and non-free subgroups of the fundamental group of the Hawaiian Earrings
The space which is composed by embedding countably many circles in such a way into the plane that their radii are given by a null-sequence and that they all have a common tangent point is called “The Hawaiian Earrings”. The fundamental group of this space is known to be a subgroup of the inverse limit of the finitely generated free groups, and it is known to be not free. Within the recent move of trying to get hands on the algebraic invariants of non-tame (e.g. non-triangulable) spaces this space...
Free group automorphisms, invariant orderings and topological applications.
Free groups of semigroups in semi-simple Lie groups.
Functorial and algebraic properties of Browns functor.
Fundamental Group of n-sphere for n ≥ 2
Triviality of fundamental groups of spheres of dimension greater than 1 is proven, [17]
Fundamental Groups, ...-groups and Codimension two Submanifolds