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The cyclic-Fibonacci hybrid sequence in groups | ||
| Journal of Mahani Mathematical Research | ||
| دوره 13، شماره 2 - شماره پیاپی 27، آبان 2024، صفحه 411-422 اصل مقاله (578.33 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2024.22899.1578 | ||
| نویسندگان | ||
| Esra Kırmızı Çetinalp1؛ Nazmiye Yılmaz1؛ Ömür Deveci* 2 | ||
| 1Department of Mathematics, Karamanoglu Mehmetbey University, Karaman, Turkey | ||
| 2Department of Mathematics, Kafkas University, Kars, Turkey | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Fibonacci Hybrid Sequence؛ Groups؛ Period؛ Presentation | ||
| مراجع | ||
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