Document Type : Research Articles

Authors

1 Department of Mathematics, Faculty of Science and Letters, Kafkas University, Turkey

2 Department of Mathematics, Faculty of Science and Letters, Kafkas University,Turkey

10.22080/cjms.2021.19001.1526

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 3-step Pell sequence in the semi-dihedral group SD2m and the quasi-dihedral group QD2m.

Keywords