#### Volume 6, issue 2 (2002)

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Convergence groups from subgroups

### Eric L Swenson

Geometry & Topology 6 (2002) 649–655
 arXiv: math.GN/0212386
##### 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 [Topology 39 (2000) 229-237].

##### Keywords
group, convergence group, Peano continuum
Primary: 20F32
Secondary: 57N10