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Essential dimension of finite groups in prime characteristic

Published 30 Dec 2017 in math.GR and math.AG | (1801.00089v3)

Abstract: Given a finite smooth group scheme $G$ over a field of characteristic $p > 0$, we show that the essential dimension of $G$ at $p$ is $0$ when $p$ does not divide the order of $G$, and $1$ when it does.

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