The adjacency-Jacobsthal-Hurwitz sequences in groups
Özet
In [3], Deveci and Akuzum defined the adjacency-Jacobsthal-Hurwitz sequences of the first and second kind. In this work, firstly we produce the cyclic groups from the multiplicative orders of the generating matrices of the adjacency-Jacobsthal-Hurwitz sequences of the first and second kind when read modulo and we study the adjacency-Jacobsthal-Hurwitz sequences of the first and second kind modulo . Then, we give the relationship between the orders of the cyclic groups obtained and the periods of the adjacency-Jacobsthal-Hurwitz sequences of the first and second kind modulo . Further, we extend the adjacency-Jacobsthal-Hurwitz sequences of the first and second kind to groups and then we examine these sequences in the quaternion group Q(8) in detail.
Atıf için künye
DEVECİ, Ö., & Karaduman, E. (2018). The adjacency-Jacobsthal-Hurwitz sequences in groups. COMMUNICATIONS IN ALGEBRA, 46(9), 3833–3839. https://doi.org/10.1080/00927872.2018.1424882
BibTeX
@article{deveci2018-73585,
author = {DEVECİ, ÖMÜR and Karaduman, Erdal},
title = {The adjacency-Jacobsthal-Hurwitz sequences in groups},
journal = {COMMUNICATIONS IN ALGEBRA},
year = {2018},
volume = {46},
number = {9},
pages = {3833--3839},
issn = {0092-7872},
doi = {10.1080/00927872.2018.1424882},
url = {https://akademik.atauni.edu.tr/yayinlar/73585-the-adjacency-jacobsthal-hurwitz-sequences-in-groups}
}