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

Raymond, Frank

doi:10.1090/S0002-9939-1984-0722427-1

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

Proc. Amer. Math. Soc. 90 (1984), 111-117

DOI: https://doi.org/10.1090/S0002-9939-1984-0722427-1

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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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