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The Fibonacci-circulant sequences in the binary polyhedral groups | ||
| International Journal of Group Theory | ||
| مقاله 1، دوره 10، شماره 3، آذر 2021، صفحه 97-101 اصل مقاله (181.02 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2020.120894.1593 | ||
| نویسندگان | ||
| Erdal Karaduman1؛ Omur Deveci* 2 | ||
| 1Department of Mathematics, Faculty of Science, Atatürk University, 25240, Erzurum, TURKEY | ||
| 2Department of Mathematics, Faculty of Science and Letters, Kafkas University, 36100, Kars, TURKEY | ||
| چکیده | ||
| In 2017 Deveci et al. defined the Fibonacci-circulant sequences of the first and second kinds as shown, respectively: $x_n^1 = -x_(n-1)^1+x_(n-2)^1-x_(n-3)^1$ for $n≥4$,where $x_1^1=x_2^1=0$ and $x_3^1=1$ and $x_n^2 = -x_(n-3)^2-x_(n-4)^2+x_(n-5)^2 for n≥6$, where $x_1^2=x_2^2=x_3^2=x_4^2=0$ and $x_5^2=1$ Also, they extended the Fibonacci-circulant sequences of the first and second kinds to groups. In this paper, we obtain the periods of the Fibonacci-circulant sequences of the first and second kinds in the binary polyhedral groups. | ||
| کلیدواژه‌ها | ||
| The Fibonacci-circulant sequences؛ period؛ group | ||
| مراجع | ||
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