Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

The Jacobsthal Sequences in Finite Groups

Document Type : Research Paper

Authors
1 Department of Mathematics‎, ‎Faculty of Science‎ ‎and Letters‎, ‎Kafkas University‎, ‎36100 Kars‎, ‎Turkey.
2 Department of Mathematics‎, ‎Faculty of Science‎, ‎Atat‎urk University‎, ‎25240 Erzurum‎, ‎Turkey.
Abstract
Abstract In this paper, we study the generalized order- Jacobsthal sequences modulo for and the generalized order-k Jacobsthal-Padovan sequence modulo for . Also, we define the generalized order-k Jacobsthal orbit of a k-generator group for and the generalized order-k Jacobsthal-Padovan orbit a k-generator group for . 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, and the semidirect product .
Keywords
Subjects

Volume 42, Issue 1 - Serial Number 1
February 2016
Pages 79-89

  • Receive Date 24 June 2012
  • Revise Date 02 November 2014
  • Accept Date 02 November 2014