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Fibonacci sequences of period n in groups. (English) Zbl 0603.10011

Sei G eine endliche abelsche Gruppe, und seien a,bG. Der Autor diskutiert die folgenden beiden Fragen:

1) Welche Periode hat die Fibonacci-Folge a,b,ab,ab 2 ,a 2 b 3 ,a 3 b 5 , in G ?

2) Gibt es für eine gegebene natürliche Zahl n>2 eine Fibonacci-Folge der Periode n in G ?


MSC:
11B39Fibonacci and Lucas numbers, etc.
20K01Finite abelian groups