k-nacci sequences in some special groups of finite order

KARADUMAN E., Aydin H.

MATHEMATICAL AND COMPUTER MODELLING, cilt.50, ss.53-58, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.mcm.2009.03.010
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.53-58
  • Anahtar Kelimeler: Fibonacci sequences, Period, Dihedral group, Semidihedral group, FIBONACCI SEQUENCES, LENGTHS
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we obtain the period of k-nacci sequences in the semidihedral groups SD2m and in the ordinary nonabelian group having the presentations W-2m = < a, b : a(2m-1) = b(2) = 1, a(b) = a(1+2m-2)> of order 2(m), m >= 4. It is important to note that the Fibonacci length depends on the chosen generating n-tuple for a group. (C) 2009 Elsevier Ltd. All rights reserved.