The Hadamard-type k-step Pell sequences in Finite Groups
عنوان مقاله: The Hadamard-type k-step Pell sequences in Finite Groups
شناسه ملی مقاله: JR_CJMS-11-1_024
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_CJMS-11-1_024
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
Yeşim Akuzum - Department of Mathematics, Faculty of Science and Letters, Kafkas University, Turkey
Omur Deveci - Department of Mathematics, Faculty of Science and Letters, Kafkas University, Turkey
Muhammad Eshaq Rashedi - Department of Mathematics, Faculty of Science and Letters, Kafkas University,Turkey
خلاصه مقاله:
Yeşim Akuzum - Department of Mathematics, Faculty of Science and Letters, Kafkas University, Turkey
Omur Deveci - Department of Mathematics, Faculty of Science and Letters, Kafkas University, Turkey
Muhammad Eshaq Rashedi - Department of Mathematics, Faculty of Science and Letters, Kafkas University,Turkey
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 ۳-step Pell sequence in the semi-dihedral group SD۲m and the quasi-dihedral group QD۲m.
کلمات کلیدی: Sequence, Period, Group
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1616754/