Linkage and Essential p-Dimension

2024/03/17 by Adam Chapman, Chapman, Adam · 2 citations
Computer Science · Engineering · #13A35 #16K20 (primary) #19D45 (secondary) #Advanced Numerical Analysis Techniques #Digital Image Processing Techniques #FOS: Mathematics #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2403.11154

openalex publication_date 2024/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that two cyclically linked p-algebras of prime degree become inseparably linked under a prime to p extension if and only if the essential p-dimension of the pair is 2. We conclude that the essential p-dimension of pairs of cyclically linked p-algebras is 3 by constructing an example of a pair that does not become inseparably linked under any prime to p extension.

Cited by

• Essential Dimension of Central Simple Algebras when the Characteristic is Bad
• Essential dimension of sequences of quadratic Pfister forms

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