Fibonacci lengths involving the Wall number \(k(n)\).

DOI10.1007/BF02831931zbMath1083.20031OpenAlexW2004309311MaRDI QIDQ815982

N. E. Zubov

Publication date: 20 February 2006

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

Full work available at URL: https://doi.org/10.1007/bf02831931

zbMATH Keywords

Fibonacci sequencesFibonacci lengthsFibonacci orbitsfinite special groupsWall numbers

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (22)

Fibonacci length and the generalized order k-Pell sequences of the 2-generator p-groups of nilpotency class 2 ⋮ The probability that the commutator equation [x,y=g has solution in a finite group] ⋮ On the \(2k\)-step Jordan-Fibonacci sequence ⋮ A subgroup involvement of the Fibonacci length. ⋮ The generalized order k–Pell sequences in some special groups of nilpotency class 2 ⋮ Truncated Lucas sequence and its period ⋮ The Fibonacci-circulant sequences in the binary polyhedral groups ⋮ On the co-complex-type \(k\)-Fibonacci numbers ⋮ On the generalized order 2-Pell sequence of some classes of groups ⋮ The cyclic sequences in non-Abelian groups ⋮ On the periods of 2-step general Fibonacci sequences in the generalized quaternion groups. ⋮ The Tribonacci-type balancing numbers and their applications ⋮ Fibonacci lengths of all finite \(p\)-groups of exponent \(p^2\). ⋮ Unnamed Item ⋮ The k-Nacci Sequences in Some Special Modular Groups ⋮ On the basic \(k\)-nacci sequences in finite groups ⋮ \(k\)-nacci sequences in some special groups of finite order ⋮ The Fibonacci-circulant sequences and their applications ⋮ THE DIHEDRAL-TYPE ADJACENCY SEQUENCES ⋮ \(k\)-nacci sequences in finite triangle groups. ⋮ Unnamed Item ⋮ The complex-typek-Fibonacci sequences and their applications

Cites Work

• Deficiency zero non-metacyclic \(p\)-groups of order less than 1000.
• Fibonacci Series Modulo m
• A note on the Todd-Coxeter coset enumeration algorithm
• Finite p -Quotients of Some Cyclically Presented Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Fibonacci lengths involving the Wall number \(k(n)\).