TITLE: 
                        
                            Axes of Möbius Transformations in H3
                                
                                
                                    AUTHORS: 
                                            Chang-Jun Li, Li-Jie Sun, Na Li 
                                                    
                                                        KEYWORDS: 
                        Geodesic, Discrete, Axis 
                                                    
                                                    
                                                        JOURNAL NAME: 
                        Advances in Pure Mathematics,  
                        Vol.1 No.4, 
                        July
                                                        22,
                        2011
                                                    
                                                    
                                                        ABSTRACT: This paper gives the relationship between the positions of axes of the two nonparabolic elements that gener-ate a discrete group and these nature including the translation lengths along the axes and the rotation angles. we mainly research the intersecting position and the coplanar (but disjoint) position.