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On the fundamental group of an orbit space

Published online by Cambridge University Press:  24 October 2008

M. A. Armstrong
M. A. Armstrong
Affiliation:
University of Birmingham
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Extract

Introduction. Let K be a connected simplicial complex, finite or infinite, its polyhedron ((2), page 45) being the space X. Then X is connected. Suppose further that X is simply connected. For any group G of simplicial transformations of X, H will denote the normal subgroup generated by elements which have a non-empty fixed-point set.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 3 , July 1965 , pp. 639 - 646
Copyright
Copyright © Cambridge Philosophical Society 1965

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References

(1)Fox, R. H. Covering spaces with singularities. Lefschetz symposium (Princeton, 1957), pp. 243–257.Google Scholar
(2)Hllton, P. J. and Wylie, S.Homology theory (Cambridge, 1960).CrossRefGoogle Scholar
(3)Macbeath, A. M.Fuchsian groups (Proceedings of the Dundee Summer School, 1961).Google Scholar