THE JACOBSTHAL SEQUENCES IN FINITE GROUPS

Deveci, O.; Karaduman, Erdal; Saglam, G.

Makale Tam Makale Uluslararası 2016

THE JACOBSTHAL SEQUENCES IN FINITE GROUPS

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Cilt 42 · Sayı 1 · ss. 79–89 · 01.02.2016

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).

Anahtar kelimeler

Length finite group Jacobsthal sequence

Atıf için künye

Deveci, O., Karaduman, E., & Saglam, G. (2016). THE JACOBSTHAL SEQUENCES IN FINITE GROUPS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 42(1), 79–89.

BibTeX

@article{deveci2016-73606,
  author = {Deveci, O. and Karaduman, Erdal and Saglam, G.},
  title = {THE JACOBSTHAL SEQUENCES IN FINITE GROUPS},
  journal = {BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY},
  year = {2016},
  volume = {42},
  number = {1},
  pages = {79--89},
  issn = {1017-060X},
  url = {https://akademik.atauni.edu.tr/yayinlar/73606-the-jacobsthal-sequences-in-finite-groups}
}