Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
gptkb:category_theory
homological algebra |
| gptkbp:definedIn |
gptkb:King
|
| gptkbp:defines |
K_1(R) = GL(R)^{ab}
|
| gptkbp:example |
K_1(C) = C^*
K_1(F) = F^* for field F K_1(Z) = {±1} |
| gptkbp:field |
gptkb:algebraic_K-theory
|
| gptkbp:generalizes |
determinant group
|
| gptkbp:introduced |
gptkb:John_Milnor
|
| gptkbp:notation |
K_1(R)
|
| gptkbp:property |
gptkb:abelian_group
functorial in R |
| gptkbp:relatedTo |
gptkb:K_0_group
gptkb:K_2_group |
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:topology number theory |
| gptkbp:bfsParent |
gptkb:operator_K-theory
gptkb:K-theory |
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
K 1 group
|