Turkish Journal of Mathematics
DOI
-
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).
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
