The Postnikov Tower and the Steenrod problem
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- by Ming-Li Chen PDF
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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 $p||G|$.References
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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
- 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
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 1825-1831
- MSC (1991): Primary 55R91, 55S45, 55S91
- DOI: https://doi.org/10.1090/S0002-9939-00-05766-X
- MathSciNet review: 1814116