Statements (18)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:mathematical_concept
                                        
                                         | 
                            
| gptkbp:abbreviation | 
                                    
                                        
                                            
                                            Wh(G)
                                        
                                        
                                         | 
                            
| gptkbp:defines | 
                                    
                                        
                                            
                                            the quotient K_1(Z[G])/±G^{ab}
                                        
                                        
                                         | 
                            
| gptkbp:domain | 
                                    
                                        
                                            
                                            group theory
                                        
                                        
                                         | 
                            
| gptkbp:field | 
                                    
                                        
                                            gptkb:algebraic_K-theory
                                        
                                         | 
                            
| gptkbp:introducedIn | 
                                    
                                        
                                            
                                            1940s
                                        
                                        
                                         | 
                            
| gptkbp:namedAfter | 
                                    
                                        
                                            gptkb:J._H._C._Whitehead
                                        
                                         | 
                            
| gptkbp:property | 
                                    
                                        
                                            
                                            can be nontrivial for nonabelian groups
                                        
                                        
                                         trivial for finite cyclic groups  | 
                            
| gptkbp:relatedTo | 
                                    
                                        
                                            gptkb:K_1_group
                                        
                                         group ring torsion in topology  | 
                            
| gptkbp:usedIn | 
                                    
                                        
                                            gptkb:topology
                                        
                                         surgery theory classification of h-cobordisms  | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:Whitehead_torsion
                                        
                                         | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            7
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            Whitehead group of a group
                                        
                                        
                                         |