Title of article :
The Hadamard-type k-step Pell sequences in Finite Groups
Author/Authors :
Deveci ، Om¨ur Department of Mathematics - Faculty of Science and Letters - Kafkas University , Akuzum ، Yesim Department of Mathematics - Faculty of Science and Letters - Kafkas University , Rashedi ، Muhammad Eshaq Department of Mathematics - Faculty of Science and Letters - Kafkas University
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 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 quasidihedral group QD2m.
Keywords :
Sequence , Period , Group
Journal title :
Caspian Journal of Mathematical Sciences (CJMS)
Journal title :
Caspian Journal of Mathematical Sciences (CJMS)
