About special elements in quaternion algebras over finite fields
Diana Savin
TL;DR
This paper investigates unique Fibonacci and Fibonacci-Lucas quaternions within quaternion algebras over finite fields, exploring their properties and special elements.
Contribution
It introduces and analyzes special Fibonacci and Fibonacci-Lucas quaternions in the context of quaternion algebras over finite fields, a novel focus in this area.
Findings
Identification of special Fibonacci quaternions
Properties of generalized Fibonacci-Lucas quaternions
Characterization of special elements in quaternion algebras
Abstract
In this paper we study special Fibonacci quaternions and special generalized Fibonacci-Lucas quaternions in quaternion algebras over finite fields.
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