The orbit space of a sphere by an action of 𝑍_{𝑝^{𝑠}}

Willson, Stephen J.

doi:10.1090/S0002-9939-1976-0428328-6

The orbit space of a sphere by an action of $Z_{p^{s}}$
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by Stephen J. Willson

Proc. Amer. Math. Soc. 59 (1976), 361-365

DOI: https://doi.org/10.1090/S0002-9939-1976-0428328-6

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Abstract:

Let $X$ be a finite ${\text {CW}}$ complex with the ${Z_{{p^r}}}$ homology of an $n$-sphere. Suppose ${Z_{{p^s}}}$ acts cellularly on $X$. The homology of the orbit space $X/{Z_{{p^s}}}$ with coefficients ${Z_{{p^r}}}$ is computed.

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