Non-𝐺-equivalent Moore 𝐺-spaces of the same type

Doman, Ryszard

doi:10.1090/S0002-9939-1988-0955029-6

Non-$G$-equivalent Moore $G$-spaces of the same type
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Proc. Amer. Math. Soc. 103 (1988), 1317-1321 Request permission

Abstract:

Let $G$ be a finite group. By a Moore $G$-space we mean a $G$-space $X$ such that for each subgroup $H$ of $G$ the fixed point space ${X^H}$ is a Moore space of type $({M_H},n)$, where $n > 1$ is a fixed integer and ${M_H}$ are abelian groups. In this paper it is shown that there exist infinitely many non-$G$-homotopy equivalent Moore $G$-spaces of certain given type.

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