THE JACOBSTHAL SEQUENCES IN FINITE GROUPS

Deveci O., Karaduman E., Saglam G.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, cilt.42, sa.1, ss.79-89, 2016 (SCI-Expanded) identifier identifier

  • 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).