The Fibonacci length of certain centro-polyhedral groups.

DOI10.1007/BF02935801zbMath1079.20047MaRDI QIDQ2574338

P. P. Campbell, Colin M. Campbell

Publication date: 21 November 2005

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

zbMATH Keywords

Fibonacci sequencesFibonacci lengthsFibonacci orbitscentro-polyhedral groups

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 (12)

Fibonacci length and the generalized order k-Pell sequences of the 2-generator p-groups of nilpotency class 2 ⋮ On the \(2k\)-step Jordan-Fibonacci sequence ⋮ A subgroup involvement of the Fibonacci length. ⋮ Truncated Lucas sequence and its period ⋮ On the periods of 2-step general Fibonacci sequences in the generalized quaternion groups. ⋮ The Hadamard-type k-step Fibonacci sequences in groups ⋮ Fibonacci lengths of all finite \(p\)-groups of exponent \(p^2\). ⋮ The polytopic-\(k\)-step Fibonacci sequences in finite groups ⋮ On the basic \(k\)-nacci sequences in finite groups ⋮ \(k\)-nacci sequences in some special groups of finite order ⋮ Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials ⋮ \(k\)-nacci sequences in finite triangle groups.

Uses Software

• Unnamed Item

Cites Work

• Fibonacci length of automorphism groups involving Tribonacci numbers
• Functions periodic modulo each of a sequence of integers
• Fibonacci Series Modulo m
• A Note on Linear Recurrent Sequences Modulo m
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Fibonacci length of certain centro-polyhedral groups.