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ISSN 1088-6826(e) ISSN 0002-9939(p)

The Postnikov Tower and the Steenrod problem

Author(s): Ming-Li Chen
Journal: Proc. Amer. Math. Soc. 129 (2001), 1825-1831.
MSC (1991): Primary 55R91, 55S45, 55S91
Posted: October 31, 2000
MathSciNet review: 1814116
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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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