Essential Dimension of Central Simple Algebras of Degree 8 and Exponent 2 in Characteristic 2

TL;DR

This paper improves the upper bound for the essential dimension of certain central simple algebras in characteristic 2, reducing it from 10 to 9, thus advancing understanding in algebraic structures.

Contribution

It provides a refined upper bound for the essential dimension of degree 8, exponent 2 central simple algebras in characteristic 2, improving previous results.

Findings

Upper bound reduced from 10 to 9

Enhanced understanding of algebraic structures in characteristic 2

Refined bounds for essential dimension

Abstract

The goal of this note is to reduce the existing upper bound for the essential dimension of central simple algebras of degree 8 and exponent 2 over fields of characteristic 2 from 10 to 9.