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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The author is grateful to the two referees for the helpful comments and suggestions.
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Chapman, A. Linkage and essential p-dimension. Rend. Circ. Mat. Palermo, II. Ser (2024). https://doi.org/10.1007/s12215-024-01052-0
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DOI: https://doi.org/10.1007/s12215-024-01052-0