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).

DOI

First Page

133

Last Page

142

Recommended Citation

DİKİCİ, Ramazan and SMITH, Geoff C. (1997) "Fibonacci Sequences in Finite Nilpotent Groups," Turkish Journal of Mathematics: Vol. 21: No. 2, Article 1. Available at: https://journals.tubitak.gov.tr/math/vol21/iss2/1

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