The quaternion-Pell sequence

DOI10.1080/00927872.2018.1468906zbMath1448.11028OpenAlexW2888060893MaRDI QIDQ4633982

Ömür Deveci, Anthony Shannon

Publication date: 7 May 2019

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

Full work available at URL: https://doi.org/10.1080/00927872.2018.1468906

zbMATH Keywords

semigroupperiodsequencequaternion

Mathematics Subject Classification ID

Recurrences (11B37) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Special sequences (11K31) Matrices, determinants in number theory (11C20)

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Cites Work

• The Pell quaternions and the Pell octonions
• \(k\)-nacci sequences in some special groups of finite order
• A determinantal identity for skewfields
• Quaternionic determinants
• 3-step Fibonacci series modulo \(m\).
• Old Friends in Unexpected Places: Pascal (and Other) Matrices in <em>GL</em>_<em>n</em>(ℂ)
• Fibonacci Series Modulo m
• Hamilton's Discovery of Quaternions
• Finite p -Quotients of Some Cyclically Presented Groups
• The adjacency-Jacobsthal-Hurwitz sequences in groups
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