Statements (14)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:mathematical_concept
                                        
                                         | 
                            
| gptkbp:appliesTo | 
                                    
                                        
                                            
                                            linear groups
                                        
                                        
                                         | 
                            
| gptkbp:field | 
                                    
                                        
                                            gptkb:algebra
                                        
                                         group theory  | 
                            
| gptkbp:implies | 
                                    
                                        
                                            
                                            finitely generated linear groups over characteristic 0 fields are virtually torsion-free
                                        
                                        
                                         | 
                            
| gptkbp:namedAfter | 
                                    
                                        
                                            gptkb:Atle_Selberg
                                        
                                         | 
                            
| gptkbp:sentence | 
                                    
                                        
                                            
                                            Every finitely generated subgroup of GL(n, K) over a field K of characteristic 0 has a torsion-free subgroup of finite index.
                                        
                                        
                                         | 
                            
| gptkbp:usedIn | 
                                    
                                        
                                            gptkb:geometry
                                        
                                         gptkb:topology arithmetic groups  | 
                            
| gptkbp:yearProved | 
                                    
                                        
                                            
                                            1947
                                        
                                        
                                         | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:Arne_Selberg
                                        
                                         | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            6
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            Selberg's lemma
                                        
                                        
                                         |