<i>K</i>-NACCI SEQUENCES IN MILLER'S GENERALIZATION OF POLYHEDRAL GROUPS

Deveci O., Karaduman E.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, cilt.34, sa.A4, ss.275-283, 2010 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: A4
  • Basım Tarihi: 2010
  • Dergi Adı: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.275-283
  • Anahtar Kelimeler: K-nacci sequence, period, dihedral group, polyhedral group, FIBONACCI SEQUENCES, NILPOTENT GROUPS, FINITE-GROUPS, PERIOD
  • Atatürk Üniversitesi Adresli: Evet

Özet

A k-nacci sequence in a finite group is a sequence of group elements x(0), x(1), x(2), ... x(n), ... for which, given an initial (seed) set x(0), x(1), x(2), ... , x(j-1), each element is defined by x(n) = {x(0)x(1) ... x(n-1) for j <= n < k. x(n-k) x(n-k+1) ... x(n-)1 for n >= k. In this paper, we examine the periods of the k-nacci sequences in Miller's generalization of the polyhedral groups < 2,2 vertical bar 2;q > < n,2 vertical bar 2;q > < 2,n vertical bar 2;q > < 2,2 vertical bar n;q > for any n > 2.