The cyclic sequences in non-Abelian groups

DOI10.1080/00927872.2023.2175839zbMath1526.11044OpenAlexW4320035778MaRDI QIDQ6042690

Unnamed Author, Ömür Deveci, Anthony Shannon

Publication date: 3 May 2023

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2023.2175839

zbMATH Keywords

groupperiodthe cyclic sequence

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Sequences (mod (m)) (11B50) Special sequences (11K31)

Cites Work

• Fibonacci lengths involving the Wall number \(k(n)\).
• \(k\)-nacci sequences in some special groups of finite order
• 3-step Fibonacci sequences in nilpotent groups.
• General 2-step Fibonacci sequences in nilpotent groups of exponent \(p\) and nilpotency class 4.
• Truncated Lucas sequence and its period
• The generalized Binet formula, representation and sums of the generalized order-\(k\) Pell numbers
• On the k-Nacci Sequences in Finite Binary Polyhedral Groups
• Fibonacci Series Modulo m
• The quaternion-Pell sequence
• The generalized order k–Pell sequences in some special groups of nilpotency class 2
• The complex-typek-Fibonacci sequences and their applications
• Fibonacci length and the generalized order k-Pell sequences of the 2-generator p-groups of nilpotency class 2
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