On twisted Galois-Gauß sums and canonical factorizations (Q1346340)
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scientific article; zbMATH DE number 737178
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On twisted Galois-Gauß sums and canonical factorizations |
scientific article; zbMATH DE number 737178 |
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On twisted Galois-Gauß sums and canonical factorizations (English)
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27 April 1995
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Using the notion of canonical factorizations, Fröhlich has shown that the Galois-Gauß sum is characterized to within unit idèles by structural invariants of rings of algebraic integers. In this paper it is shown that this is only a special case of a more general phenomenon. More precisely, even after twisting by non-singular Adams operators the Galois-Gauß sum is characterized to within unit idèles by structural invariants of naturally occuring integral Galois representations.
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Galois module structure
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Adams operators
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Galois-Gauß sum
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unit idèles
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Galois representations
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