automorphism
noun
                                                                                                                            
                                                            au·to·mor·phism
                    
                                                                                                              
                                                                                                                                  ˌȯ-tə-ˈmȯr-ˌfi-zəm 
                                                      
                                                          
            
                                
              
          
                                                      : an isomorphism of a set (such as a group) with itself                                      
                
                    
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  Merriam-Webster unabridged




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