The adjacency-Jacobsthal-Hurwitz sequences in groups
COMMUNICATIONS IN ALGEBRA, cilt.46, sa.9, ss.3833-3839, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 46 Sayı: 9
- Basım Tarihi: 2018
- Doi Numarası: 10.1080/00927872.2018.1424882
- Dergi Adı: COMMUNICATIONS IN ALGEBRA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.3833-3839
- Atatürk Üniversitesi Adresli: Evet
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.