The Fibonacci-circulant sequences in the binary polyhedral groups
Publish place: International Journal of Group Theory، Vol: 10، Issue: 3
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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تاریخ نمایه سازی: 14 اردیبهشت 1400
Abstract:
In ۲۰۱۷ Deveci et al. defined the Fibonacci-circulant sequences of the first and second kinds as shown, respectively:x_n^۱ = -x_(n-۱)^۱+x_(n-۲)^۱-x_(n-۳)^۱ for n≥۴,where x_۱^۱=x_۲^۱=۰ and x_۳^۱=۱andx_n^۲ = -x_(n-۳)^۲-x_(n-۴)^۲+x_(n-۵)^۲ for n≥۶,where x_۱^۲=x_۲^۲=x_۳^۲=x_۴^۲=۰ and x_۵^۲=۱Also, 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.
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Authors
Erdal Karaduman
Department of Mathematics, Faculty of Science, Atatürk University, ۲۵۲۴۰, Erzurum, TURKEY
Omur Deveci
Department of Mathematics, Faculty of Science and Letters, Kafkas University, ۳۶۱۰۰, Kars, TURKEY