Isoclinism classes of Galois groups of number fields
Volume 191 / 2019
                    
                    
                        Acta Arithmetica 191 (2019), 115-149                    
                                        
                        MSC: 11R32, 11R21, 11R42.                    
                                        
                        DOI: 10.4064/aa180213-6-12                    
                                            
                            Published online: 16 September 2019                        
                                    
                                                Abstract
The notion of isoclinism was introduced by P. Hall in 1940 to classify finite $p$-groups. We show that this notion also plays an important role in classifying Galois groups of number fields.