Essential dimension of symmetric groups in prime characteristic

The essential dimension $\operatorname{ed}_k(\operatorname{S}_n)$ of the symmetric group $\operatorname{S}_n$ is the minimal integer $d$ such that the general polynomial $x^n + a_1 x^{n-1} + \dots + a_n$ can be reduced to a $d$-parameter form by a Tschirnhaus transformation. Finding this number is a...

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Bibliographic Details
Main Authors: Edens, Oakley, Reichstein, Zinovy
Format: Article
Language:English
Published: Académie des sciences 2024-07-01
Series:Comptes Rendus. Mathématique
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Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.577/
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