Convergence groups from subgroups
arXiv:math/0212386 · doi:10.2140/gt.2002.6.649
Abstract
We give sufficient conditions for a group of homeomorphisms of a Peano continuum X without cut-points to be a convergence group. The condition is that there is a collection of convergence subgroups whose limit sets `cut up' X in the correct fashion. This is closely related to the result in [E Swenson, Axial pairs and convergence groups on S^1, Topology 39 (2000) 229-237].
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol6/paper22.abs.html