THE JACOBSTHAL SEQUENCES IN FINITE GROUPS
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, cilt.42, sa.1, ss.79-89, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 42 Sayı: 1
- Basım Tarihi: 2016
- Dergi Adı: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.79-89
- Anahtar Kelimeler: Length, Jacobsthal sequence, finite group
- Atatürk Üniversitesi Adresli: Evet
Özet
In this paper, we study the generalized order-k Jacobsthal sequences modulo m for k >= 2 and the generalized order-k Jacobsthal-Padovan sequence modulo m for k >= 3. Also, we define the generalized order-k Jacobsthal orbit of a k-generator group for k >= 2 and the generalized order-k Jacobsthal-Padovan orbit a k-generator group for k >= 3. Furthermore, we obtain the lengths of the periods of the generalized order 3 Jacobsthal orbit and the generalized order-3 Jacobsthal-Padovan orbit of the direct product D-2n x Z(2m), (n, m >= 3) and the semidirect product D-2n x(phi) Z(2m), (n, m >= 3).