The Generalized Order-k Lucas Sequences in Finite Groups

DEVECİ Ö., Karaduman E.

JOURNAL OF APPLIED MATHEMATICS, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1155/2012/464580
  • Dergi Adı: JOURNAL OF APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Atatürk Üniversitesi Adresli: Evet

Özet

We study the generalized order-k Lucas sequences modulo m. Also, we define the ith generalized order-k Lucas orbit l(A)(i,{alpha 1,alpha 2, ... ,alpha k-1}) (G) with respect to the generating set A and the constants alpha(1), alpha(2), and alpha(k-1) for a finite group G = < A >. Then, we obtain the lengths of the periods of the ith generalized order-k Lucas orbits of the binary polyhedral groups < n, 2, 2 >, < 2, n, 2 >, < 2, 2, n > and the polyhedral groups (n, 2, 2), (2, n, 2), (2, 2, n) for 1 <= i <= k.