Fibonacci Sequences in Finite Nilpotent Groups

Authors: Ramazan DİKİCİ, Geoff C SMITH

Abstract: We have proved that, for the 3-step Fibonacci recurrence and any finite p-group of exponent p and nilpotency class 3, the length of a fundamental period of any loop satisfying the recurrence must divide the period of the ordinary 3-step Fibonacci sequence in the field GF(p).

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