Resolutions of certain unstable modules and Minc's partition function (Q1022291)
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scientific article; zbMATH DE number 5563759
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Resolutions of certain unstable modules and Minc's partition function |
scientific article; zbMATH DE number 5563759 |
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Resolutions of certain unstable modules and Minc's partition function (English)
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10 June 2009
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Basing on a combinatorial result of \textit{G. E. Andrews} [Pac. J. Math. 95, 251--256 (1981; Zbl 0514.10007)], the authors construct minimal injective resolutions of certain unstable modules which appear as mod \(2\) cohomology of Thom spectra. The terms of those resolutions are tensor products of Brown-Gitler and Steinberg modules [\textit{S. A.\ Mitchell} and \textit{S. B.\ Priddy}, Topology 22, 285--298 (1983; Zbl 0526.55010)]. Homotopical applications as ``Segal conjecture'' type results, are presented. No proofs are given.
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Brown-Gitler (Steinberg) module
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minimal injective resolution
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Poincarè series
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Thom spectra
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