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The Postnikov Tower and the Steenrod problem

Authors:	Ming-Li Chen

Institution:	Center for the Mathematical Sciences, University of Wisconsin, Madison, Wisconsin 53715

Abstract:	The Steenrod problem asks: given a -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 -Sylow subgroups , for all primes $p\vert\vert G\vert$ .

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