A theorem on the cohomology of groups and some arithmetical applications (Q1071806)
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scientific article; zbMATH DE number 3939449
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A theorem on the cohomology of groups and some arithmetical applications |
scientific article; zbMATH DE number 3939449 |
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A theorem on the cohomology of groups and some arithmetical applications (English)
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1985
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The author proves a general theorem in the cohomology theory of finite groups and applies it to obtain some interesting old and new results on specific Galois modules for local and global Galois groups. For instance, he investigates the Galois cohomology of the unit group of a local field and of the idele class group modulo the connected component of the identity of a global number field.
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unit group of local field
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idele class group of global field
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connected component of identity
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cohomology theory of finite groups
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Galois modules
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Galois cohomology
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