General 2-step Fibonacci sequences in nilpotent groups of exponent \(p\) and nilpotency class 4.

DOI10.1016/S0096-3003(02)00270-9zbMath1040.11010MaRDI QIDQ1408337

Erdal Karaduman, Hüseyin Aydin

Publication date: 15 September 2003

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

zbMATH Keywords

Fibonacci numbersGeneral Fibonacci sequencesNilpotent groups

Mathematics Subject Classification ID

Nilpotent groups (20F18) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (5)

The adjacency-Jacobsthal-Hurwitz sequences in groups ⋮ The cyclic sequences in non-Abelian groups ⋮ On the periods of 2-step general Fibonacci sequences in the generalized quaternion groups. ⋮ Fibonacci lengths of all finite \(p\)-groups of exponent \(p^2\). ⋮ \(k\)-nacci sequences in some special groups of finite order

Cites Work

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• Fibonacci Series Modulo m
• Finite p -Quotients of Some Cyclically Presented Groups

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