The Generalized Order-k Jacobsthal Lengths of The Some Centro-Polyhedral Groups

The Generalized Order-k Jacobsthal Lengths of The Some Centro-Polyhedral Groups

In [7], the authors defined the generalized order-k Jacobsthal orbit we obtain the generalized order-k Jacobsthal lengths of the centro-polyhedral groups 〈2, − , 2〉, 〈−2, , 2〉 and 〈2, , −2〉.( ) of a finitely generated group = 〈 〉. In this study

___

  • Knox S.W. Fibonacci sequences in finite groups, The Fibonacci Quarterly, 30.2 (1992) p. 116-120.
  • Koken F., Bozkurt D. On the Jacobsthal numbers by matrix methods, Int. J. Contemp. Math. Sciences, 3(13) (2008) p. 605-614. [12]. Lü K., Wang J. k-step Fibonacci sequence modulo m. Util. Math., 71 (2007) p. 169-178. [13]. Tascı D. Pell Padovan numbers and polynomials. IV. Congress of The Türkic World Mathematical Society, Bakü, Azerbaycan, 2011.
  • Wall D.D. Fibonacci series modulo . Amer. Math. Monthly, 67 (1960) p.525-532.
  • Yilmaz F., Bozkurt D. The generalized order-k Jacobsthal numbers. Int. J. Contemp. Math. Sciences, 4(34) (2009) p.1685-1694.