Computing square roots in quaternion algebras

TL;DR

This paper introduces an explicit algorithm for computing square roots within quaternion algebras over global fields, expanding computational tools in algebra.

Contribution

It provides a novel, explicit algorithmic approach for square root computation in quaternion algebras over global fields.

Findings

Algorithm successfully computes square roots in quaternion algebras

Applicable over global fields of characteristic not 2

Enhances computational methods in algebraic structures

Abstract

We present an explicit algorithmic method for computing square roots in quaternion algebras over global fields of characteristic different from 2.