Title of article :
The cyclic-Fibonacci hybrid sequence in groups
Author/Authors :
Çetinalp ، Esra Kırmızı Department of Mathematics - Karamanoğlu Mehmetbey University , Yılmaz ، Nazmiye Department of Mathematics - Karamanoğlu Mehmetbey University , Deveci ، Ömür Department of Mathematics - Kafkas University
Abstract :
The aim of this paper is to introduce the cyclic-Fibonacci hybrid sequence and give some properties. By taking into account the cyclic-Fibonacci hybrid sequence modulo $m$, the method will be given to determine the period lengths of this sequence according to the different $m$ values. In the final part of this paper, we study the cyclic-Fibonacci hybrid sequence in groups and then we calculate the cyclic-Fibonacci hybrid lengths of polyhedral groups (2, 2, 2), (2, n, 2) and (n, 2, 2) as applications of the results produced.
Keywords :
Fibonacci Hybrid Sequence , Groups , Period , Presentation
Journal title :
Journal of Mahani Mathematical Research Center
Journal title :
Journal of Mahani Mathematical Research Center
