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The Hadamard-type k-step Pell sequences in Finite Groups | ||
Caspian Journal of Mathematical Sciences | ||
مقاله 24، دوره 11، شماره 1، 2022، صفحه 304-312 اصل مقاله (101.21 K) | ||
نوع مقاله: Research Articles | ||
شناسه دیجیتال (DOI): 10.22080/cjms.2021.19001.1526 | ||
نویسندگان | ||
Yeşim Akuzum* 1؛ Omur Deveci1؛ Muhammad Eshaq Rashedi2 | ||
1Department of Mathematics, Faculty of Science and Letters, Kafkas University, Turkey | ||
2Department of Mathematics, Faculty of Science and Letters, Kafkas University,Turkey | ||
تاریخ دریافت: 19 خرداد 1399، تاریخ بازنگری: 06 بهمن 1399، تاریخ پذیرش: 07 بهمن 1399 | ||
چکیده | ||
In this work, we study the Hadamard-type k-step Pell sequence modulo m and then, we obtain the cyclic groups which are generated by the multiplicative orders of the Hadamard-type k-step Pell matrix when read modulo m. Then we extend the Hadamard-type k-step Pell sequence to groups and we redefine the Hadamard-type k-step Pell sequence by means of the elements of groups. Finally, we obtain the periods of the Hadamard-type 3-step Pell sequence in the semi-dihedral group SD2m and the quasi-dihedral group QD2m. | ||
کلیدواژهها | ||
Sequence؛ Period؛ Group | ||
آمار تعداد مشاهده مقاله: 331 تعداد دریافت فایل اصل مقاله: 282 |