𝑍_{𝑝} actions on spaces of cohomology type (𝑎,0)

Dotzel, Ronald M.; Singh, Tej B.

doi:10.1090/S0002-9939-1991-1064902-2

$Z_ p$ actions on spaces of cohomology type $(a,0)$
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by Ronald M. Dotzel and Tej B. Singh

Proc. Amer. Math. Soc. 113 (1991), 875-878

DOI: https://doi.org/10.1090/S0002-9939-1991-1064902-2

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Abstract:

A space $X$ that has the cohomology of the one-point union ${P^2}(n)V{S^{3n}}$ or ${S^n}V{S^{2n}}V{S^{3n}}$ is said to have cohomology type $(a,0)$. Here we construct examples of free ${Z_p}$ actions ($p$ an odd prime) on certain of these spaces and give a complete description of possible fixed point sets.

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