An application of Fibonacci sequences in groups

Dikici R., Ozkan E.

APPLIED MATHEMATICS AND COMPUTATION, cilt.136, ss.323-331, 2002 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 136
  • Basım Tarihi: 2002
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.323-331
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Hayır

Özet

In this work, we have proved that, for the 3-step general Fibonacci recurrence and any finite p-group of exponent p and nilpotency class 2, the length of a fundamental period of any loop satisfying the recurrence must divide the period of the ordinary 3-step general Fibonacci sequence in the field GF(p). (C) 2002 Elsevier Science Inc. All rights reserved.