Convergence groups from subgroups

Details Convergence groups from subgroups Convergence groups from subgroups

2002-12-31

arxiv.org/abs/math/0212386v1

Geom. Topol. 6(2002) 649-655

Mathematics

Group Theory

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol6/paper22.abs.html

Scientific paper

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].

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