Modular invariants of parabolic subgroups of general linear groups (Q1588398)
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scientific article; zbMATH DE number 1539382
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Modular invariants of parabolic subgroups of general linear groups |
scientific article; zbMATH DE number 1539382 |
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Modular invariants of parabolic subgroups of general linear groups (English)
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15 October 2001
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Let \(p\) be a prime and let \(A\) be an elementary Abelian \(p\)-group of rank \(m\). In this paper, the authors determine a full system for the invariants of parabolic subgroups of the general linear group \(\text{GL}(m,\mathbb{F}_p)\) in \(H^*(A,\mathbb{F}_p)\). And they also obtain a relation between these invariants and the Dickson ones.
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general linear groups
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parabolic subgroups
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Deligne-Lusztig characters
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Cartan invariants
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Dickson invariants
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