An application of Fibonacci sequences in groups
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摘要
In this work, we have proved that, for the 3-step general Fibonacci recurrence and any finite p-group of exponent p and nilpotency class 2, the length of a fundamental period of any loop satisfying the recurrence must divide the period of the ordinary 3-step general Fibonacci sequence in the field GF(p).
论文关键词:Fibonacci sequences,Nilpotent groups
论文评审过程:Available online 7 March 2002.
论文官网地址:https://doi.org/10.1016/S0096-3003(02)00044-9