Three finiteness theorems for \(G\)-forms (Q1909872)
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scientific article; zbMATH DE number 858023
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Three finiteness theorems for \(G\)-forms |
scientific article; zbMATH DE number 858023 |
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Three finiteness theorems for \(G\)-forms (English)
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24 March 1996
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The author shows that for a finite subgroup \(G\) of \(Gl_n (\mathbb{Z})\) there is, up to \(G\)-equivalence, only a finite number of \(G\)-perfect (or \(G\)-eutactic, \(G\)-extreme) forms. This generalizes in a way classical results by Voronoi on perfect and eutactic (quadratic) forms.
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quadratic forms
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\(G\)-perfect forms
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\(G\)-eutactic forms
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\(G\)-extreme forms
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