Geometry & Topology, Vol. 6 (2002) Paper no. 22, pages 649--655.

Convergence groups from subgroups

Eric L Swenson

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].

Keywords. Group, convergence group, Peano continuum

AMS subject classification. Primary: 20F32. Secondary: 57N10.

DOI: 10.2140/gt.2002.6.649

E-print: arXiv:math.GR/0212386

Submitted to GT on 26 Febrary 2002. Paper accepted 15 November 2002. Paper published 14 December 2002.

Notes on file formats

Eric L Swenson
Brigham Young University, Mathematics Department
292 TMCB, Provo, UT 84604, USA
Email: eric@math.byu.edu

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