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Torsion and periods in some groups of homeomorphisms of the circle

Published online by Cambridge University Press:  24 October 2008

P. Greenberg
P. Greenberg
Affiliation:
Institut Fourier, BP 74, 38402 St Martin d'Heres Cedex, France
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Extract

If g is an element of torsion of a group G, its order o(g) is the least positive integer such that go(g) = e. Let OG = {o(g);g ∈ G}. If G is a group of homeomorphisms of a space X, and if g ∈ G, x ∈ X let q(g, x) denote the cardinality of the g-orbit {gnx}n∈Z of x.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 112 , Issue 1 , July 1992 , pp. 29 - 44
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

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