Borel's theorem on K-groups of number fields
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
K-groups of rings of integers in number fields
|
| gptkbp:author |
gptkb:Armand_Borel
|
| gptkbp:citation |
Borel, A. (1974). Stable real cohomology of arithmetic groups. Ann. Sci. École Norm. Sup. (4) 7: 235–272.
Borel, A. (1977). Cohomologie de SL_n et valeurs de fonctions zeta aux points entiers. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 4: 613–636. |
| gptkbp:describes |
structure of higher algebraic K-groups of number fields
|
| gptkbp:field |
gptkb:algebraic_K-theory
number theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Borel's theorem on K-groups of number fields
|
| gptkbp:implies |
K-groups of number fields are finitely generated abelian groups
|
| gptkbp:publicationYear |
1974
|
| gptkbp:relatedTo |
gptkb:Dedekind_zeta_function
gptkb:Beilinson_conjectures gptkb:algebraic_K-theory_of_fields regulator of a number field |
| gptkbp:state |
the ranks of K-groups of rings of integers in number fields are determined by the number of real and complex embeddings
|
| gptkbp:bfsParent |
gptkb:Algebraic_K-theory_of_number_fields
|
| gptkbp:bfsLayer |
7
|