On the period of Fibonacci sequences in nilpotent groups.

DOI10.1016/S0096-3003(02)00306-5zbMath1041.11010MaRDI QIDQ1399743

Uğur Yavuz, Erdal Karaduman

Publication date: 30 July 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

nilpotent groupfinite fieldsFibonacci numbersnilpotency classperiodFibonacci sequences

Mathematics Subject Classification ID

Finite fields and commutative rings (number-theoretic aspects) (11T99) Finite nilpotent groups, (p)-groups (20D15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Calculation of integer sequences (11Y55)

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Cites Work

• A fast algorithm for computing large Fibonacci numbers
• \(k\)-Lucas numbers and associated bipartite graphs
• Generating trees and forbidden subsequences
• Fibonacci Series Modulo m
• Finite p -Quotients of Some Cyclically Presented Groups
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