Linkage and Essential $p$-Dimension
2024
Online
report
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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Linkage and Essential $p$-Dimension
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Autor/in / Beteiligte Person: | Chapman, Adam |
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Veröffentlichung: | 2024 |
Medientyp: | report |
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