An application of Fibonacci sequences in groups

Dikici R., Özkan E.

Applied Mathematics and Computation, cilt.136, ss.323-331, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 136
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0096-3003(02)00044-9
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.323-331
  • Marmara 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). © 2002 Elsevier Science Inc. All rights reserved.