15 citations · 27 across the 7 of their papers we have counts for
10 papers
Patterns and Tracks
M. J. Dunwoody
Patterns in triangulated -spheres and -spheres are investigated. A reworking of the proof of Abigail Thompson of the Recognition Algorithm for is presented together wit…
Almost Invariant Sets
M. J. Dunwoody
A short proof of a conjecture of Kropholler is given. This gives a relative version of Stallings' Theorem on the structure of groups with more than one end. A generalisation of the…
Structure Trees and Networks
M. J. Dunwoody
In this paper it is shown that for any network there is a uniquely determined network based on a structure tree that provides a convenient way of determining a minimal cut separati…
Proper decompositions of finitely presented groups
A. N. Bartholomew, M. J. Dunwoody
This is a report on our long term project to find an algorithm to decide if a finitely presented group has a non-trivial action on a tree.
Finitely Presented Groups Acting on Trees
M. J. Dunwoody
It is shown that for any action of a finitely presented group on an -tree, there is a decomposition of as the fundamental group of a graph of groups related to this act…
An (FA)-group that is not (FR)
Martin J. Dunwoody, Ashot Minasyan
We construct examples of finitely generated groups L that have non-trivial actions on -trees but which cannot act, without fixing a vertex, on any simplicial tree. More…