Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
number fields
|
| gptkbp:concerns |
units in the ring of integers of a number field
|
| gptkbp:field |
algebraic number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Dirichlet's unit theorem
|
| gptkbp:implies |
structure of the unit group of algebraic integers
|
| gptkbp:namedAfter |
gptkb:Peter_Gustav_Lejeune_Dirichlet
|
| gptkbp:publishedIn |
1838
|
| gptkbp:relatedTo |
gptkb:Minkowski's_theorem
class number formula |
| gptkbp:state |
the group of units is isomorphic to the product of a finite cyclic group and a free abelian group of rank r+s-1
the group of units of the ring of integers of a number field is finitely generated |
| gptkbp:usedIn |
study of Diophantine equations
study of algebraic integers |
| gptkbp:bfsParent |
gptkb:Peter_Gustav_Lejeune_Dirichlet
gptkb:Algebraic_number_theory |
| gptkbp:bfsLayer |
5
|