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 3-step Pell sequence in the semi-dihedral group SD2m and the quasi-dihedral group QD2m.
Akuzum, Y., Deveci, O., & Rashedi, M. E. (2022). The Hadamard-type k-step Pell sequences in Finite Groups. Caspian Journal of Mathematical Sciences, 11(1), 304-312. doi: 10.22080/cjms.2021.19001.1526
MLA
Yeşim Akuzum; Omur Deveci; Muhammad Eshaq Rashedi. "The Hadamard-type k-step Pell sequences in Finite Groups", Caspian Journal of Mathematical Sciences, 11, 1, 2022, 304-312. doi: 10.22080/cjms.2021.19001.1526
HARVARD
Akuzum, Y., Deveci, O., Rashedi, M. E. (2022). 'The Hadamard-type k-step Pell sequences in Finite Groups', Caspian Journal of Mathematical Sciences, 11(1), pp. 304-312. doi: 10.22080/cjms.2021.19001.1526
VANCOUVER
Akuzum, Y., Deveci, O., Rashedi, M. E. The Hadamard-type k-step Pell sequences in Finite Groups. Caspian Journal of Mathematical Sciences, 2022; 11(1): 304-312. doi: 10.22080/cjms.2021.19001.1526
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