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The Postnikov Tower and the Steenrod problem


Author: Ming-Li Chen
Journal: Proc. Amer. Math. Soc. 129 (2001), 1825-1831
MSC (1991): Primary 55R91, 55S45, 55S91
Published electronically: October 31, 2000
MathSciNet review: 1814116
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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 $p\vert\vert G\vert$.


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Additional Information

Ming-Li Chen
Affiliation: Center for the Mathematical Sciences, University of Wisconsin, Madison, Wisconsin 53715
Email: mchen@cms.wisc.edu

DOI: https://doi.org/10.1090/S0002-9939-00-05766-X
Received by editor(s): June 18, 1997
Received by editor(s) in revised form: September 13, 1999
Published electronically: October 31, 2000
Communicated by: Ralph Cohen
Article copyright: © Copyright 2000 American Mathematical Society