Anagram & Information om | Engelska ordet IDELE

Exempel på hur man kan använda IDELE i en mening

• An example of this situation is the adele ring of a global field; its unit group, called the idele group, is not a topological group in the subspace topology.
• Together with his advisor Emil Artin, Tate gave a cohomological treatment of global class field theory using techniques of group cohomology applied to the idele class group and Galois cohomology.
• In this formulation, automorphic forms are certain finite invariants, mapping from the idele class group under the Artin reciprocity law.
• Here the set of ideles consists of the invertible adeles; but the topology on the idele group is not their topology as a subset of the adeles.
• A consequence is that the kernel of the Artin map is the connected component of the identity of the idele class group, so that the abelianization of the Galois group of F is the profinite completion of the idele class group.

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