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

2022/06/12 by Adam Chapman, Chapman, Adam · 1 citation
Mathematics · #16K20 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #K-Theory and Homology (math.KT) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2206.05736

openalex publication_date 2022/06/12 · openalex created_date 2022/06/16 · openalex updated_date 2026/07/28

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.

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