The Hadamard-type k-step Fibonacci sequences in groups

DOI10.1080/00927872.2020.1723609zbMath1477.11028OpenAlexW3012124091MaRDI QIDQ5119288

Yeşim Aküzüm, Ömür Deveci

Publication date: 3 September 2020

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

Full work available at URL: https://doi.org/10.1080/00927872.2020.1723609

zbMATH Keywords

rankgroupperiodmatrixsequencebasic period

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) Sequences (mod (m)) (11B50) Matrices, determinants in number theory (11C20)

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Cites Work

• On the basic \(k\)-nacci sequences in finite groups
• \(k\)-nacci sequences in some special groups of finite order
• Fibonacci length of automorphism groups involving Tribonacci numbers
• The Fibonacci length of certain centro-polyhedral groups.
• The Period, Rank, and Order of the (a, b)-Fibonacci Sequence Mod m
• Splitting Fields and Periods of Fibonacci Sequences Modulo Primes
• Fibonacci Series Modulo m
• Cycles in the Generalized Fibonacci Sequence Modulo a Prime
• The k-Nacci Sequences in Some Special Modular Groups
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