Linkage and Essential p-Dimension

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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.

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Adam Chapman (Sun,) studied this question.

synapsesocial.com/papers/68e73a8db6db6435876b4974 https://doi.org/https://doi.org/10.48550/arxiv.2403.11154

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