The Hadamard-type k-step Pell sequences in Finite Groups
Publish place: Caspian Journal of Mathematical Sciences، Vol: 11، Issue: 1
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CJMS-11-1_024
تاریخ نمایه سازی: 15 اسفند 1401
Abstract:
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 redefi ne 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.
Authors
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