The Complex-type Pell p-Numbers in Finite Groups

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Turkish Journal of Science
Volume:6 Issue:3
The Complex-type Pell p-Numbers in Finite Groups

The Complex-type Pell p-Numbers in Finite Groups

Authors : Yeşim AKÜZÜM

Pages : 142-147

View : 13 | Download : 7

Publication Date : 2021-12-30

Article Type : Research Paper

Abstract :In this paper, we study the complex-type Pell p-numbers modulo m and then we obtain the periods and the ranks of the complex type Pell p-numbers modulo m. Also, we give some results on the periods and the ranks of the complex-type Pell p-numbers modulo m. Then, we consider the multiplicative orders of the complex-type Pell p-matrix when read modulo m. Also, we give the relationships between the periods of the complex-type Pell p-numbers modulo m and the orders of the cyclic groups produced. We redefine the complex-type Pell p-numbers by means of the elements of groups. Finally, we obtain the periods of the complex-type Pell 2-numbers in the semidihedral group SD_2^m , insert ignore into journalissuearticles values(m ≥ 4); as applications of the results.
Keywords : The complex type Pell p numbers, Matrix, Representation, Group, Period, Rank

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