Fibonacci length and the generalized order k-Pell sequences of the 2-generator p-groups of nilpotency class 2

DOI10.1142/S0219498823500615OpenAlexW3210483554MaRDI QIDQ5880494

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Publication date: 3 March 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823500615

zbMATH Keywords

nilpotent groupperiod\(p\)-groupFibonacci lengthgeneralized order \(k\)-Pell sequence

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 (1)

The cyclic sequences in non-Abelian groups

Cites Work

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• Fibonacci lengths involving the Wall number \(k(n)\).
• Fibonacci numbers at most one away from a perfect power
• Extensions and refinements of some properties of sums involving Pell numbers
• On the \(2k\)-step Jordan-Fibonacci sequence
• The nonabelian tensor square of a \(2\)-generator \(p\)-group of class \(2\)
• The generalized Binet formula, representation and sums of the generalized order-\(k\) Pell numbers
• The Fibonacci length of certain centro-polyhedral groups.
• On the generalized order 2-Pell sequence of some classes of groups
• The quaternion-Pell sequence

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