Convergence groups from subgroups

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

Mathematical Subject Classification 2000

Primary: 20F32

Secondary: 57N10

References

Forward citations

Publication

Received: 26 2002

Accepted: 15 November 2002

Published: 14 December 2002

Proposed: David Gabai

Seconded: Benson Farb, Cameron Gordon

Authors

Eric L Swenson
Brigham Young University Mathematics Department 292 TMCB Provo Utah 84604 USA

Volume 6, issue 2 (2002)

Eric L Swenson