Statements (13)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:mathematical_concept
                                        
                                         gptkb:number_field  | 
                            
| gptkbp:alsoKnownAs | 
                                    
                                        
                                            gptkb:Hilbert_class_field
                                        
                                         | 
                            
| gptkbp:characteristic | 
                                    
                                        
                                            
                                            unique for each number field
                                        
                                        
                                         | 
                            
| gptkbp:defines | 
                                    
                                        
                                            
                                            the maximal unramified abelian extension of a number field
                                        
                                        
                                         | 
                            
| gptkbp:field | 
                                    
                                        
                                            
                                            algebraic number theory
                                        
                                        
                                         | 
                            
| gptkbp:namedAfter | 
                                    
                                        
                                            gptkb:David_Hilbert
                                        
                                         | 
                            
| gptkbp:property | 
                                    
                                        
                                            
                                            its Galois group over the base field is isomorphic to the ideal class group
                                        
                                        
                                         | 
                            
| gptkbp:relatedTo | 
                                    
                                        
                                            
                                            class field theory
                                        
                                        
                                         | 
                            
| gptkbp:usedIn | 
                                    
                                        
                                            
                                            study of abelian extensions of number fields
                                        
                                        
                                         | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:Algebraische_Zahlentheorie
                                        
                                         | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            8
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            Hilbertsche Klassenkörper
                                        
                                        
                                         |