About special elements in quaternion algebras over finite fields

DOI10.1007/s00006-016-0718-2zbMath1414.11157arXiv1510.00318OpenAlexW2964170051MaRDI QIDQ2361421

Diana Savin

Publication date: 30 June 2017

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.00318

zbMATH Keywords

finite fieldquaternion algebraFibonacci numberLucas numberFibonacci quaterniongeneralized Fibonacci-Lucas quaternion

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (5)

Counting non-isomorphic generalized Hamilton quaternions ⋮ Some diagonalizable matrices, connected with difference equations of degree 3 ⋮ Some remarks regarding \(l\)-elements defined in algebras obtained by the Cayley-Dickson process ⋮ On quaternion algebras over some extensions of quadratic number fields ⋮ Some special number sequences obtained from a difference equation of degree three

Cites Work

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• On split \(k\)-Fibonacci and \(k\)-Lucas quaternions
• A new aspect of dual Fibonacci quaternions
• Fibonacci generalized quaternions
• Quaternion algebras and generalized Fibonacci-Lucas quaternions
• On the structure of quaternion rings over \(\mathbb{Z}/n\mathbb{Z}\)
• Fibonacci-\(p\) quaternions
• Fibonacci numbers and Fermat's last theorem
• A Generalized Fibonacci Sequence
• Complex Fibonacci Numbers and Fibonacci Quaternions

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