The Postnikov Tower and the Steenrod problem

Chen, Ming-Li

doi:10.1090/S0002-9939-00-05766-X

The Postnikov Tower and the Steenrod problem
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Proc. Amer. Math. Soc. 129 (2001), 1825-1831 Request permission

Abstract:

The Steenrod problem asks: given a $G$-module, when does there exist a Moore space realizing the module? By using the equivariant Postnikov Tower, it is shown that a $\mathbb {Z} G$-module is $\mathbb {Z} G$-realizable if and only if it is $\mathbb {Z} H$-realizable for all $p$-Sylow subgroups $H$, for all primes $p||G|$.

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