Depth and the cohomology of wreath products (Q1895734)
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scientific article; zbMATH DE number 784066
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Depth and the cohomology of wreath products |
scientific article; zbMATH DE number 784066 |
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Depth and the cohomology of wreath products (English)
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18 April 1996
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Let \(G\) be a finite group and \(k\) a field of characteristic \(p>0\). The depth of \(H^*(G;k)\) is the length of the longest regular sequence. In this paper, the authors study how the depth behaves under wreath products. In particular, they show that the depth increases by one and also that the minimal dimension of the associated primes increases by at most one.
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cohomology rings
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finite groups
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depth
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wreath products
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regular sequences
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