The Fibonacci-circulant sequences in the binary polyhedral groups
عنوان مقاله: The Fibonacci-circulant sequences in the binary polyhedral groups
شناسه ملی مقاله: JR_THEGR-10-3_001
منتشر شده در در سال 1400
شناسه ملی مقاله: JR_THEGR-10-3_001
منتشر شده در در سال 1400
مشخصات نویسندگان مقاله:
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
خلاصه مقاله:
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
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.
کلمات کلیدی: The Fibonacci-circulant sequences, Period, group
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1194886/