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Journals / Hacettepe Bulletin of Natural Sciences and Engineering Series B / Mathematics and Statistics / 1999 / Cilt: 28 - Sayı:

2- step general recurrences in finite p-groups

Ramazan DİKİCİ

Pages
9–14
DOI
—

Abstract

We consider the 2-step general Fibonacci recurrence and any finite p-group of exponent p and nilpotency class 2 and prove that the length of any loop formed by any two generating elements of this group is the same as the period of the 2-step general Fibonacci sequence in the field GF(p).