A remark on certain simultaneous divisibility sequences
Tom 137 / 2014
                    
                    
                        Colloquium Mathematicum 137 (2014), 209-213                    
                                        
                        MSC: Primary 11G35; Secondary 11G05, 11G10, 14H52.                    
                                        
                        DOI: 10.4064/cm137-2-5                    
                                    
                                                Streszczenie
We investigate possible orders of reductions of a point in the Mordell–Weil groups of certain abelian varieties and in direct products of the multiplicative group of a number field. We express the result obtained in terms of divisibility sequences.