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Inequivalent, bordant group actions on a surface

Published online by Cambridge University Press:  24 October 2008

Charles Livingston
Charles Livingston
Affiliation:
Department of Mathematics, Indiana University, Bloomington, IN 47405, U.S.A.
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Extract

An action of a group, G, on a surface, F, consists of a homomorphism

ø: G → Homeo (F).

We will restrict our discussion to finite groups acting on closed, connected, orientable surfaces, with ø(g) orientation-preserving for all g ε G. In addition we will consider only effective (ø is injective) free actions. Free means that ø(g) is fixed-point-free for all g ε G, g ≠ 1. This paper addresses the classification of such actions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 99 , Issue 2 , March 1986 , pp. 233 - 238
Copyright
Copyright © Cambridge Philosophical Society 1986

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References

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