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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A fixed point theorem for simplicial complexes whose fundamental groups are free products


Author: Frank Raymond
Journal: Proc. Amer. Math. Soc. 90 (1984), 111-117
MSC: Primary 57S10; Secondary 57S17
DOI: https://doi.org/10.1090/S0002-9939-1984-0722427-1
MathSciNet review: 722427
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Abstract: A fixed point theorem for actions of toral and finite $ p$-groups is obtained for finite simplicial complexes satisfying certain conditions on their fundamental groups and their universal covering spaces. Examples are constructed relating this result to other well-known results.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1984-0722427-1
Keywords: Transformation groups, covering spaces, ends, Freudenthal compactification, clc, cohomology groups, simplicial complex, fundamental group, free products, fixed points
Article copyright: © Copyright 1984 American Mathematical Society